Pith Number

pith:557ZDVFY

pith:2015:557ZDVFYM6EYVAROCHMSDEKNMU

not attested not anchored not stored refs pending

Extension between functors from groups

Christine Vespa (IRMA)

arxiv:1511.03098 v3 · 2015-11-10 · math.AT · math.CT · 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{557ZDVFYM6EYVAROCHMSDEKNMU}

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	2026-05-18T00:19:31.267826Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7f91d4b867898a822e11d921914d6533540054cc33a281c91fe9251d8c446d

Aliases

arxiv: 1511.03098 · arxiv_version: 1511.03098v3 · doi: 10.48550/arxiv.1511.03098 · pith_short_12: 557ZDVFYM6EY · pith_short_16: 557ZDVFYM6EYVARO · pith_short_8: 557ZDVFY

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/557ZDVFYM6EYVAROCHMSDEKNMU \
  | 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: ef7f91d4b867898a822e11d921914d6533540054cc33a281c91fe9251d8c446d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "21df1376a2c5bf5b392aed8317dc98b400e36bed44b8b6ddb1c4ccff61220109",
    "cross_cats_sorted": [
      "math.CT",
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-11-10T13:18:39Z",
    "title_canon_sha256": "5c384966d88a348fdff78998b32d17c0a08bd3905d9b13b57ed62ca3d0f6a453"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03098",
    "kind": "arxiv",
    "version": 3
  }
}