Pith Number

pith:QCFHQ2H7

pith:2014:QCFHQ2H7ZW423WIKN2EVMGQAXX

not attested not anchored not stored refs pending

Fibrations structure and degree formulae for Milnor fibers

Antonio Andrade (ICMC), Nicolas Dutertre (I2M), Raimundo N. Ara\'ujo Dos Santos (ICMC), Ying Chen (ICMC)

arxiv:1409.5053 v1 · 2014-09-17 · math.AG · 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{QCFHQ2H7ZW423WIKN2EVMGQAXX}

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	2026-05-18T02:42:37.965278Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

808a7868ffcdb9add90a6e89561a00bdf4cb4e7038b6f9fdb982ffaf7e5037a9

Aliases

arxiv: 1409.5053 · arxiv_version: 1409.5053v1 · doi: 10.48550/arxiv.1409.5053 · pith_short_12: QCFHQ2H7ZW42 · pith_short_16: QCFHQ2H7ZW423WIK · pith_short_8: QCFHQ2H7

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/QCFHQ2H7ZW423WIKN2EVMGQAXX \
  | 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: 808a7868ffcdb9add90a6e89561a00bdf4cb4e7038b6f9fdb982ffaf7e5037a9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c129334ddf7e0097c5eb9de1b4393b43492a73f6afa0a96b0d1ef6debf605b0a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-09-17T16:21:53Z",
    "title_canon_sha256": "65f278482f80212186ee5e2e69ababe34b1b0aeff5f785fc9e7e1860b0bff742"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.5053",
    "kind": "arxiv",
    "version": 1
  }
}