Pith Number

pith:O2FCJ5FB

pith:2012:O2FCJ5FBCOZDXDA3R5MU7KL3AJ

not attested not anchored not stored refs pending

On the stabilization of embedded thickenings

John W. Peter

arxiv:1204.2781 v2 · 2012-04-12 · 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{O2FCJ5FBCOZDXDA3R5MU7KL3AJ}

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	2026-05-18T02:42:39.844259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

768a24f4a113b23b8c1b8f594fa97b02753582b0db1cc6a16150f8ff97fc968d

Aliases

arxiv: 1204.2781 · arxiv_version: 1204.2781v2 · doi: 10.48550/arxiv.1204.2781 · pith_short_12: O2FCJ5FBCOZD · pith_short_16: O2FCJ5FBCOZDXDA3 · pith_short_8: O2FCJ5FB

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/O2FCJ5FBCOZDXDA3R5MU7KL3AJ \
  | 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: 768a24f4a113b23b8c1b8f594fa97b02753582b0db1cc6a16150f8ff97fc968d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a3717e98254ae393e3472893affa55def0535f24e60327e9b0e5dc86b7bd544e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2012-04-12T17:37:53Z",
    "title_canon_sha256": "a5719a07eebe3bb9d5c8088d4d19549c2c31e96de7ef7be07a0b4eb83eb3147f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1204.2781",
    "kind": "arxiv",
    "version": 2
  }
}