Pith Number

pith:GTOLJZ4S

pith:2016:GTOLJZ4SHZB44GCOC6NII6OFRS

not attested not anchored not stored refs pending

Intersection multiplicity, Milnor number and Bernstein's theorem

Pinaki Mondal

arxiv:1607.04860 v4 · 2016-07-17 · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{GTOLJZ4SHZB44GCOC6NII6OFRS}

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	2026-05-18T00:54:57.909606Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

34dcb4e7923e43ce184e179a8479c58c81783eeda2f0e30f9adddbe8f083be45

Aliases

arxiv: 1607.04860 · arxiv_version: 1607.04860v4 · doi: 10.48550/arxiv.1607.04860 · pith_short_12: GTOLJZ4SHZB4 · pith_short_16: GTOLJZ4SHZB44GCO · pith_short_8: GTOLJZ4S

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/GTOLJZ4SHZB44GCOC6NII6OFRS \
  | 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: 34dcb4e7923e43ce184e179a8479c58c81783eeda2f0e30f9adddbe8f083be45

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3033e85f512048af72da20b9050f93b8e62c899d38d4a68a76cfe1c25100a2f3",
    "cross_cats_sorted": [
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-07-17T12:33:16Z",
    "title_canon_sha256": "3d232150e24d7474b80e786096e1ec746a946c33acc79be088c9b5dc11fe59b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.04860",
    "kind": "arxiv",
    "version": 4
  }
}