Pith Number

pith:FJU3IVV2

pith:2012:FJU3IVV2HDO76SX3ATV3FJBPY4

not attested not anchored not stored refs pending

Geometric Objects and Cohomology Operations

Pedro Real, Rocio Gonzalez-Diaz

arxiv:1206.4345 v1 · 2012-06-19 · 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{FJU3IVV2HDO76SX3ATV3FJBPY4}

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	2026-05-18T03:53:06.168863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2a69b456ba38ddff4afb04ebb2a42fc72a158d71b5e40eec37eac459bef1c8cd

Aliases

arxiv: 1206.4345 · arxiv_version: 1206.4345v1 · doi: 10.48550/arxiv.1206.4345 · pith_short_12: FJU3IVV2HDO7 · pith_short_16: FJU3IVV2HDO76SX3 · pith_short_8: FJU3IVV2

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/FJU3IVV2HDO76SX3ATV3FJBPY4 \
  | 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: 2a69b456ba38ddff4afb04ebb2a42fc72a158d71b5e40eec37eac459bef1c8cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "395ae8cb79aad58bda9bea399cab01c394388c4bfd6b765bf2517b754f1f49c7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-06-19T21:33:57Z",
    "title_canon_sha256": "df612b87e7c8f495f4c68d451865ca738ddea7e5fa525831b80f380c4a6725c3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1206.4345",
    "kind": "arxiv",
    "version": 1
  }
}