Pith Number

pith:HNLDXUID

pith:2011:HNLDXUID52BNC56T6UKATV5HQJ

not attested not anchored not stored refs pending

Computing Adem Cohomology Operations

Pedro Real, Rocio Gonzalez-Diaz

arxiv:1112.2494 v1 · 2011-12-12 · 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{HNLDXUID52BNC56T6UKATV5HQJ}

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	2026-05-18T04:06:34.200263Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3b563bd103ee82d177d3f51409d7a782509ec8226a5e2012273734247f2a82d8

Aliases

arxiv: 1112.2494 · arxiv_version: 1112.2494v1 · doi: 10.48550/arxiv.1112.2494 · pith_short_12: HNLDXUID52BN · pith_short_16: HNLDXUID52BNC56T · pith_short_8: HNLDXUID

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/HNLDXUID52BNC56T6UKATV5HQJ \
  | 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: 3b563bd103ee82d177d3f51409d7a782509ec8226a5e2012273734247f2a82d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "34fb10a140eb86c5ddb34f9386cbde3fe9546100fb334e88abe9d82c9baad73f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2011-12-12T10:12:42Z",
    "title_canon_sha256": "567241584885f8173612ba2eeb48140718804c2321b25f4b93faf93098676fb7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.2494",
    "kind": "arxiv",
    "version": 1
  }
}