Pith Number

pith:PRTKQK23

pith:2018:PRTKQK23HEHSD3LM6WH27MFHVF

not attested not anchored not stored refs pending

On Milnor's fibration theorem and its offspring after 50 years

Jose Seade

arxiv:1810.08673 v1 · 2018-10-19 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRTKQK23HEHSD3LM6WH27MFHVF}

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	2026-05-18T00:02:43.846383Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c66a82b5b390f21ed6cf58fafb0a7a975ab9e754219e73ef87f9d5f3e311ae7

Aliases

arxiv: 1810.08673 · arxiv_version: 1810.08673v1 · doi: 10.48550/arxiv.1810.08673 · pith_short_12: PRTKQK23HEHS · pith_short_16: PRTKQK23HEHSD3LM · pith_short_8: PRTKQK23

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/PRTKQK23HEHSD3LM6WH27MFHVF \
  | 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: 7c66a82b5b390f21ed6cf58fafb0a7a975ab9e754219e73ef87f9d5f3e311ae7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98fa023acaa83c35b528b78cc31a5e66e7cf8ecaefff1be6a0f7bf89ef258e6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-10-19T20:12:34Z",
    "title_canon_sha256": "e37775ccaf8262b1414e1fbdf12d303a23b8c987a72a4da389554e6ea325d9f1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1810.08673",
    "kind": "arxiv",
    "version": 1
  }
}