Pith Number

pith:NLQR3NWI

pith:2019:NLQR3NWIGN4THDOVXGTNCJVKE7

not attested not anchored not stored refs pending

The Bogomolov-Tian-Todorov Theorem Of Cyclic $A_\infty$-Algebras

Junwu Tu

arxiv:1903.02107 v3 · 2019-03-05 · math.AG · 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{NLQR3NWIGN4THDOVXGTNCJVKE7}

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	2026-05-17T23:51:25.565947Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6ae11db6c83379338dd5b9a6d126aa27f94d2761ca75b206f6e2de98b44ee00e

Aliases

arxiv: 1903.02107 · arxiv_version: 1903.02107v3 · doi: 10.48550/arxiv.1903.02107 · pith_short_12: NLQR3NWIGN4T · pith_short_16: NLQR3NWIGN4THDOV · pith_short_8: NLQR3NWI

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/NLQR3NWIGN4THDOVXGTNCJVKE7 \
  | 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: 6ae11db6c83379338dd5b9a6d126aa27f94d2761ca75b206f6e2de98b44ee00e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9e18e79afc3ee0092f45220a9d65906b4a5917b514065bf7ef6d238637780bb2",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-03-05T23:27:45Z",
    "title_canon_sha256": "fc3f001be6c677ce7a5b50254e22ed836ec069a4b6b2113e62e470b847946542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.02107",
    "kind": "arxiv",
    "version": 3
  }
}