Pith Number

pith:PFI4MJPF

pith:2014:PFI4MJPF532LZKQVWD4ID63CVC

not attested not anchored not stored refs pending

Generic fibrations around multiple fibers

Kyle Larson

arxiv:1405.6418 v2 · 2014-05-25 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PFI4MJPF532LZKQVWD4ID63CVC}

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	2026-05-18T02:26:31.774473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7951c625e5eef4bcaa15b0f881fb62a88927635156ef16a2b63011282d9b3d92

Aliases

arxiv: 1405.6418 · arxiv_version: 1405.6418v2 · doi: 10.48550/arxiv.1405.6418 · pith_short_12: PFI4MJPF532L · pith_short_16: PFI4MJPF532LZKQV · pith_short_8: PFI4MJPF

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/PFI4MJPF532LZKQVWD4ID63CVC \
  | 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: 7951c625e5eef4bcaa15b0f881fb62a88927635156ef16a2b63011282d9b3d92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d28c40b3515a1ee1d576bcb984c71fe928873acae5fe5a0cd59a621c812728e0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-05-25T18:52:32Z",
    "title_canon_sha256": "1a7c8714dc24aef44f4685c9a3e4b2af17c673949a5f047b6e0fdd4601143f3e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6418",
    "kind": "arxiv",
    "version": 2
  }
}