Pith Number

pith:HP2EAXTR

pith:2019:HP2EAXTRZXLH6VZWAXE3IZP3JU

not attested not anchored not stored refs pending

$C_2$-equivariant Homology Operations: Results and Formulas

Dylan Wilson

arxiv:1905.00058 v1 · 2019-04-30 · 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{HP2EAXTRZXLH6VZWAXE3IZP3JU}

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.

Receipt and verification

First computed	2026-05-17T23:47:15.294181Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3bf4405e71cdd67f573605c9b465fb4d2bf599ae6404e9c36c04323dadb26077

Aliases

arxiv: 1905.00058 · arxiv_version: 1905.00058v1 · doi: 10.48550/arxiv.1905.00058 · pith_short_12: HP2EAXTRZXLH · pith_short_16: HP2EAXTRZXLH6VZW · pith_short_8: HP2EAXTR

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/HP2EAXTRZXLH6VZWAXE3IZP3JU \
  | 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: 3bf4405e71cdd67f573605c9b465fb4d2bf599ae6404e9c36c04323dadb26077

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4d806a375367170ca4364400b19bbfbb1e925f3448bf1eb33f76061c8b9f5505",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-04-30T18:52:54Z",
    "title_canon_sha256": "986af3af5c2677f6b63b37a43734a89a42336fbca31a2b4f8d39dd421dc374d5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1905.00058",
    "kind": "arxiv",
    "version": 1
  }
}