Pith Number

pith:ZWQCJDEZ

pith:2021:ZWQCJDEZZJOKZ7XLFXVUIW2US7

not attested not anchored not stored refs pending

Arnold Conjecture and Morava K-theory

Andrew J. Blumberg, Mohammed Abouzaid

arxiv:2103.01507 v1 · 2021-03-02 · math.SG · math.AT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZWQCJDEZZJOKZ7XLFXVUIW2US7}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

3 papers in Pith

Transport functions for principal bundles and Morse homology with differential graded coefficients

On the Hofer-Zehnder conjecture for semipositive symplectic manifolds

Gauge theory for families

Receipt and verification

First computed	2026-07-05T02:19:47.786197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cda0248c99ca5cacfeeb2deb445b5497c69b7016dac0b05c81cdbba237cf0f7e

Aliases

arxiv: 2103.01507 · arxiv_version: 2103.01507v1 · doi: 10.48550/arxiv.2103.01507 · pith_short_12: ZWQCJDEZZJOK · pith_short_16: ZWQCJDEZZJOKZ7XL · pith_short_8: ZWQCJDEZ

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/ZWQCJDEZZJOKZ7XLFXVUIW2US7 \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: cda0248c99ca5cacfeeb2deb445b5497c69b7016dac0b05c81cdbba237cf0f7e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5f131de8e31bb9e4d379b6099e9c86feb041fb4f0cfa2d04de6d077e8b113639",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2021-03-02T06:49:28Z",
    "title_canon_sha256": "642212e6d9f97cfa55e328a3cd276b9f4b7a548516d3ddf5e6f44f2e7d4f5f06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2103.01507",
    "kind": "arxiv",
    "version": 1
  }
}