Pith Number

pith:INJNHKXK

pith:2011:INJNHKXKOYFVOMU7NNZHUMSMCF

not attested not anchored not stored refs pending

Milnor Fibrations and the Thom Property for maps $f \bar g$

Anne Pichon, Jos\'e Seade

arxiv:1103.3236 v1 · 2011-03-16 · 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{INJNHKXKOYFVOMU7NNZHUMSMCF}

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	2026-05-18T04:26:44.546406Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4352d3aaea760b57329f6b727a324c116586d37a59bd43eabe96209d3ea5f330

Aliases

arxiv: 1103.3236 · arxiv_version: 1103.3236v1 · doi: 10.48550/arxiv.1103.3236 · pith_short_12: INJNHKXKOYFV · pith_short_16: INJNHKXKOYFVOMU7 · pith_short_8: INJNHKXK

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/INJNHKXKOYFVOMU7NNZHUMSMCF \
  | 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: 4352d3aaea760b57329f6b727a324c116586d37a59bd43eabe96209d3ea5f330

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "089494951dcb61287958fae823dcdd873cffe75dc42b318969b2b1ef6d441feb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-03-16T17:20:42Z",
    "title_canon_sha256": "e3936610e604b2ce87287fe24f7484c4da9f49c91aa001641aff32efae099e87"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3236",
    "kind": "arxiv",
    "version": 1
  }
}