Pith Number

pith:55ZCTPLG

pith:2016:55ZCTPLG33XDWRSRNL7MO3MTDW

not attested not anchored not stored refs pending

Tannakian formalism for fiber functors over tensor categories

Amir Jafari, Mostafa Einollahzadeh

arxiv:1609.03023 v1 · 2016-09-10 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{55ZCTPLG33XDWRSRNL7MO3MTDW}

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	2026-05-18T01:04:49.121518Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ef7229bd66deee3b46516afec76d931d9c7867b9a9e12c2a1d68cf4cced04304

Aliases

arxiv: 1609.03023 · arxiv_version: 1609.03023v1 · doi: 10.48550/arxiv.1609.03023 · pith_short_12: 55ZCTPLG33XD · pith_short_16: 55ZCTPLG33XDWRSR · pith_short_8: 55ZCTPLG

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/55ZCTPLG33XDWRSRNL7MO3MTDW \
  | 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: ef7229bd66deee3b46516afec76d931d9c7867b9a9e12c2a1d68cf4cced04304

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2dc7c1f01cd569503671284486108bd3cf3bf5ce193fcf75da644f214c9fd28f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2016-09-10T10:15:15Z",
    "title_canon_sha256": "4fa4005e683b32e30c4a83f417a61e544c6b3f05254c343ceb42dbd01aed683e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1609.03023",
    "kind": "arxiv",
    "version": 1
  }
}