Pith Number

pith:3JIP7N7H

pith:2012:3JIP7N7HYTB53DI6HJKWDATCKF

not attested not anchored not stored refs pending

Universal Realisators for Homology Classes

Alexander A. Gaifullin

arxiv:1201.4823 v2 · 2012-01-23 · math.AT · math.GR · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3JIP7N7HYTB53DI6HJKWDATCKF}

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	2026-05-18T02:51:42.633446Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

da50ffb7e7c4c3dd8d1e3a55618262517ce4a1c035f291a24c6a5af5f630d5a3

Aliases

arxiv: 1201.4823 · arxiv_version: 1201.4823v2 · doi: 10.48550/arxiv.1201.4823 · pith_short_12: 3JIP7N7HYTB5 · pith_short_16: 3JIP7N7HYTB53DI6 · pith_short_8: 3JIP7N7H

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/3JIP7N7HYTB53DI6HJKWDATCKF \
  | 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: da50ffb7e7c4c3dd8d1e3a55618262517ce4a1c035f291a24c6a5af5f630d5a3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5eb43dfebd62017cb320973f35aa3240987ce340b05cc1063ef37f58e65345c2",
    "cross_cats_sorted": [
      "math.GR",
      "math.MG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-01-23T19:22:45Z",
    "title_canon_sha256": "feefa7e08e6220c833e8b5cb7dc6768d712c938a93cb0f9795d27572fbbd2ce6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1201.4823",
    "kind": "arxiv",
    "version": 2
  }
}