Pith Number

pith:NJQ76H7Z

pith:2009:NJQ76H7ZO3NIZ6STU77UPRB5TT

not attested not anchored not stored refs pending

Determinantal singularities and Newton polyhedra

Alexander Esterov

arxiv:0906.5097 v2 · 2009-06-27 · 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{NJQ76H7ZO3NIZ6STU77UPRB5TT}

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	2026-05-18T04:42:44.706259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6a61ff1ff976da8cfa53a7ff47c43d9cd42b3f56c1df8a96f72d794df30d475a

Aliases

arxiv: 0906.5097 · arxiv_version: 0906.5097v2 · doi: 10.48550/arxiv.0906.5097 · pith_short_12: NJQ76H7ZO3NI · pith_short_16: NJQ76H7ZO3NIZ6ST · pith_short_8: NJQ76H7Z

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/NJQ76H7ZO3NIZ6STU77UPRB5TT \
  | 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: 6a61ff1ff976da8cfa53a7ff47c43d9cd42b3f56c1df8a96f72d794df30d475a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "60c0aea8dbe30d106bb2fe3fd6b8b6b62fcaac6447f36760c3be89d340cf7226",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2009-06-27T18:44:24Z",
    "title_canon_sha256": "3aa12adc08fd0254b4974d05060fd7c89bbb47c7340e5a101945602c817f2ece"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0906.5097",
    "kind": "arxiv",
    "version": 2
  }
}