Pith Number

pith:7AAXSX5F

pith:2019:7AAXSX5FUYNNZQPIMB6RAFYNYJ

not attested not anchored not stored refs pending

Representable presheaves of groups on the homotopy category of cocommutative dg-coalgebras and Tannakian reconstruction

Jaehyeok Lee, Jae-Suk Park

arxiv:1903.09206 v3 · 2019-03-21 · math.AG · math.AT · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{7AAXSX5FUYNNZQPIMB6RAFYNYJ}

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	2026-05-17T23:48:45.035359Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f801795fa5a61adcc1e8607d10170dc25aedb818e27792a783e94c29d5fc0b8e

Aliases

arxiv: 1903.09206 · arxiv_version: 1903.09206v3 · doi: 10.48550/arxiv.1903.09206 · pith_short_12: 7AAXSX5FUYNN · pith_short_16: 7AAXSX5FUYNNZQPI · pith_short_8: 7AAXSX5F

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/7AAXSX5FUYNNZQPIMB6RAFYNYJ \
  | 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: f801795fa5a61adcc1e8607d10170dc25aedb818e27792a783e94c29d5fc0b8e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4f3c47294af18a0728f94959f66b249858a063c447434dced69965ff1cf1006a",
    "cross_cats_sorted": [
      "math.AT",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-21T19:19:17Z",
    "title_canon_sha256": "a5543ae05cf878dad1cb5e01fe7322b265aeef7588038c43ec4110b2b9ca908f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.09206",
    "kind": "arxiv",
    "version": 3
  }
}