Pith Number

pith:GZAWX44A

pith:2014:GZAWX44A6VD2H24MW2EJJQ4RHC

not attested not anchored not stored refs pending

Associated Forms and Hypersurface Singularities: The Binary Case

Alexander Isaev, Jarod Alper

arxiv:1407.6838 v3 · 2014-07-25 · math.AG · math.AC · 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{GZAWX44A6VD2H24MW2EJJQ4RHC}

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	2026-05-18T01:21:32.682861Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36416bf380f547a3eb8cb68894c3913888c833bdac80b47a5b3c3d18080de1ec

Aliases

arxiv: 1407.6838 · arxiv_version: 1407.6838v3 · doi: 10.48550/arxiv.1407.6838 · pith_short_12: GZAWX44A6VD2 · pith_short_16: GZAWX44A6VD2H24M · pith_short_8: GZAWX44A

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/GZAWX44A6VD2H24MW2EJJQ4RHC \
  | 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: 36416bf380f547a3eb8cb68894c3913888c833bdac80b47a5b3c3d18080de1ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3122678bda50f82b6afb8143712c0bf75f73b0c390fd7c9d58133445ec3bfd90",
    "cross_cats_sorted": [
      "math.AC",
      "math.CV"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-07-25T10:10:56Z",
    "title_canon_sha256": "712919ad1152bbaaa4aabbf01eed46ad63811fae6abed10287b12772b467819e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.6838",
    "kind": "arxiv",
    "version": 3
  }
}