Pith Number

pith:PH3J4GGG

pith:2015:PH3J4GGGIC3QKMCQDRD7GGRAIO

not attested not anchored not stored refs pending

Extrapolating an Euler class

Wilberd van der Kallen

arxiv:1502.02405 v2 · 2015-02-09 · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PH3J4GGGIC3QKMCQDRD7GGRAIO}

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	2026-05-18T02:18:40.421573Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f69e18c640b70530501c47f31a2043a29edf3da446c666bbc8c3df3d15413f

Aliases

arxiv: 1502.02405 · arxiv_version: 1502.02405v2 · doi: 10.48550/arxiv.1502.02405 · pith_short_12: PH3J4GGGIC3Q · pith_short_16: PH3J4GGGIC3QKMCQ · pith_short_8: PH3J4GGG

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/PH3J4GGGIC3QKMCQDRD7GGRAIO \
  | 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: 79f69e18c640b70530501c47f31a2043a29edf3da446c666bbc8c3df3d15413f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf7f340de0abe4007c21d5814ccf3c10f93ddb30f9faf2363c5644a69913ea9e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.KT",
    "submitted_at": "2015-02-09T09:23:39Z",
    "title_canon_sha256": "dc2dcafc69ac4ed7f8155082630381bc88333981e17f0a7a42c15881f77779d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02405",
    "kind": "arxiv",
    "version": 2
  }
}