Pith Number

pith:2ZQ4AJLW

pith:2014:2ZQ4AJLWQSEJJFS57SGWWKF6RA

not attested not anchored not stored refs pending

Existence of Tannakian subcategories and its applications

Jingcheng Dong, Li Dai

arxiv:1404.4115 v3 · 2014-04-16 · math.CT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{2ZQ4AJLWQSEJJFS57SGWWKF6RA}

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	2026-05-18T01:13:28.949996Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d661c02576848894965dfc8d6b28be882365fe6444872d934e3f2a08c9a1adbf

Aliases

arxiv: 1404.4115 · arxiv_version: 1404.4115v3 · doi: 10.48550/arxiv.1404.4115 · pith_short_12: 2ZQ4AJLWQSEJ · pith_short_16: 2ZQ4AJLWQSEJJFS5 · pith_short_8: 2ZQ4AJLW

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/2ZQ4AJLWQSEJJFS57SGWWKF6RA \
  | 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: d661c02576848894965dfc8d6b28be882365fe6444872d934e3f2a08c9a1adbf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eb9d67cf712681563c9601387ce31dc1b2e4c061fa12799b21c6f9c1db0db74",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2014-04-16T00:25:48Z",
    "title_canon_sha256": "da9c8c4aff3f67c46d466bfc929f5e67fc162cb9731284f18b0ba88d1941b312"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.4115",
    "kind": "arxiv",
    "version": 3
  }
}