Pith Number

pith:DFRAK7FO

pith:2019:DFRAK7FOZREPM3FWS6CO2U7UGA

not attested not anchored not stored refs pending

$A_\infty$-Minimal Model on Differential Graded Algebras

Jiawei Zhou

arxiv:1904.10143 v4 · 2019-04-23 · math.AT · math.GT · math.RA · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DFRAK7FOZREPM3FWS6CO2U7UGA}

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	2026-07-05T05:08:13.544034Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1962057caecc48f66cb69784ed53f4300144d62eb29458d4324fe70c090a9c52

Aliases

arxiv: 1904.10143 · arxiv_version: 1904.10143v4 · doi: 10.48550/arxiv.1904.10143 · pith_short_12: DFRAK7FOZREP · pith_short_16: DFRAK7FOZREPM3FW · pith_short_8: DFRAK7FO

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/DFRAK7FOZREPM3FWS6CO2U7UGA \
  | 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: 1962057caecc48f66cb69784ed53f4300144d62eb29458d4324fe70c090a9c52

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9d1443a4c42c310fad7840ffb5f63f7c2dad5bea7affbc1287173d0aebb6fff4",
    "cross_cats_sorted": [
      "math.GT",
      "math.RA",
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2019-04-23T04:11:18Z",
    "title_canon_sha256": "e89d3bbcc9e56d345f0d564f6d4fc1ec586ddb0f6dc438f3536286e9e510819b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1904.10143",
    "kind": "arxiv",
    "version": 4
  }
}