Pith Number

pith:DQCIMEVF

pith:2009:DQCIMEVFUO3BVNWI5KBJMQTT5K

not attested not anchored not stored refs pending

Uniqueness of $A_\infty$-structures and Hochschild cohomology

Constanze Roitzheim, Sarah Whitehouse

arxiv:0909.3222 v4 · 2009-09-17 · math.AT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DQCIMEVFUO3BVNWI5KBJMQTT5K}

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	2026-05-18T02:41:51.156566Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c048612a5a3b61ab6c8ea82964273ea94b00254480589d08634ee3d0a9390e1

Aliases

arxiv: 0909.3222 · arxiv_version: 0909.3222v4 · doi: 10.48550/arxiv.0909.3222 · pith_short_12: DQCIMEVFUO3B · pith_short_16: DQCIMEVFUO3BVNWI · pith_short_8: DQCIMEVF

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/DQCIMEVFUO3BVNWI5KBJMQTT5K \
  | 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: 1c048612a5a3b61ab6c8ea82964273ea94b00254480589d08634ee3d0a9390e1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "13c25927023c6a3855b24f0cfcd91758bfd3b1e372a340e65966fc42fd238fe6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2009-09-17T13:54:03Z",
    "title_canon_sha256": "be9da6247e0f2e482074476bda188ff8e95f19443789518c2fe3e0577af322d8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0909.3222",
    "kind": "arxiv",
    "version": 4
  }
}