Pith Number

pith:PKQHWWVI

pith:2014:PKQHWWVI66X7LLUYMMPSTW3464

not attested not anchored not stored refs pending

An explicit KO-degree map and applications

Aravind Asok, Jean Fasel

arxiv:1403.4588 v2 · 2014-03-18 · math.KT · math.AG · 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{PKQHWWVI66X7LLUYMMPSTW3464}

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

1 paper in Pith

Cancellation and splitting of Symplectic modules in the critical range and Euler class group

Receipt and verification

First computed	2026-05-18T00:44:29.130869Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7aa07b5aa8f7aff5ae98631f29db7cf723ff0498a525d97b7ec1b192435f1c5c

Aliases

arxiv: 1403.4588 · arxiv_version: 1403.4588v2 · doi: 10.48550/arxiv.1403.4588 · pith_short_12: PKQHWWVI66X7 · pith_short_16: PKQHWWVI66X7LLUY · pith_short_8: PKQHWWVI

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/PKQHWWVI66X7LLUYMMPSTW3464 \
  | 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: 7aa07b5aa8f7aff5ae98631f29db7cf723ff0498a525d97b7ec1b192435f1c5c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8c4763be16521c6e2a290d4d45846d2ff6c0e26720cc1b78e799c610b8399b1",
    "cross_cats_sorted": [
      "math.AG",
      "math.AT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2014-03-18T19:43:53Z",
    "title_canon_sha256": "ad0b8fe1e5f99492aa84c92518d1458a704a0553c15316eb3dc1e94b536ac709"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1403.4588",
    "kind": "arxiv",
    "version": 2
  }
}