Pith Number

pith:O7LL5QHO

pith:2006:O7LL5QHOAYDKNGOZYL5DDLVHHH

not attested not anchored not stored refs pending

A-infinity structure on Ext-algebras

D.-M. Lu, J. H. Palmieri, J. J. Zhang, Q.-S. Wu

arxiv:math/0606144 v1 · 2006-06-06 · math.KT · 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{O7LL5QHOAYDKNGOZYL5DDLVHHH}

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	2026-07-04T14:55:29.179878Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

77d6bec0ee0606a699d9c2fa31aea739e00d175d2272fd85f07849846d8a30b1

Aliases

arxiv: math/0606144 · arxiv_version: math/0606144v1 · doi: 10.48550/arxiv.math/0606144 · pith_short_12: O7LL5QHOAYDK · pith_short_16: O7LL5QHOAYDKNGOZ · pith_short_8: O7LL5QHO

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/O7LL5QHOAYDKNGOZYL5DDLVHHH \
  | 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: 77d6bec0ee0606a699d9c2fa31aea739e00d175d2272fd85f07849846d8a30b1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b3b4146593f1dd7f5c01c2846e1fc7ff289c3a662ee895d13658b95773ce751b",
    "cross_cats_sorted": [
      "math.AT"
    ],
    "license": "",
    "primary_cat": "math.KT",
    "submitted_at": "2006-06-06T23:02:41Z",
    "title_canon_sha256": "dc671870573ca90eab22fc136a9146c43052f188dcd7490d0569d9906a94b4da"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0606144",
    "kind": "arxiv",
    "version": 1
  }
}