Pith Number

pith:F7UWWADA

pith:2015:F7UWWADA3CL3Y63YXEN4U2GF36

not attested not anchored not stored refs pending

Bundle functors and fibrations

Anders Kock

arxiv:1505.02430 v1 · 2015-05-10 · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{F7UWWADA3CL3Y63YXEN4U2GF36}

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	2026-05-18T02:16:18.780157Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fe96b0060d897bc7b78b91bca68c5df877b3c4c60067c34e53355ae5d17fe11

Aliases

arxiv: 1505.02430 · arxiv_version: 1505.02430v1 · doi: 10.48550/arxiv.1505.02430 · pith_short_12: F7UWWADA3CL3 · pith_short_16: F7UWWADA3CL3Y63Y · pith_short_8: F7UWWADA

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/F7UWWADA3CL3Y63YXEN4U2GF36 \
  | 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: 2fe96b0060d897bc7b78b91bca68c5df877b3c4c60067c34e53355ae5d17fe11

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61c07be16a3b50ad7ea76b6697cf714470ba3973cdf87de17200d991abe6e7aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2015-05-10T20:06:05Z",
    "title_canon_sha256": "545eaf2b7945c306b8169c6520c9d22f5953a5b62ae1543a8452c77119e90d65"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.02430",
    "kind": "arxiv",
    "version": 1
  }
}