Pith Number

pith:5MCPZ25P

pith:2015:5MCPZ25PB7DRHK2NQCTFVVAI3Q

not attested not anchored not stored refs pending

Jet schemes and generating sequences of divisorial valuations in dimension two

Hussein Mourtada

arxiv:1511.03907 v1 · 2015-11-12 · 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{5MCPZ25PB7DRHK2NQCTFVVAI3Q}

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	2026-05-18T01:27:06.525280Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

eb04fcebaf0fc713ab4d80a65ad408dc03f5520505fc6c6b7c10f5a6439b8a74

Aliases

arxiv: 1511.03907 · arxiv_version: 1511.03907v1 · doi: 10.48550/arxiv.1511.03907 · pith_short_12: 5MCPZ25PB7DR · pith_short_16: 5MCPZ25PB7DRHK2N · pith_short_8: 5MCPZ25P

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/5MCPZ25PB7DRHK2NQCTFVVAI3Q \
  | 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: eb04fcebaf0fc713ab4d80a65ad408dc03f5520505fc6c6b7c10f5a6439b8a74

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "139107a31ce72898f804f9c17ad710bc1720ec0fc04d2a0efd409ff218f52d6f",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-11-12T14:47:45Z",
    "title_canon_sha256": "4324e2b1778d742c1f944352befac62f09f313fb7241325675b96dd76d53ef64"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.03907",
    "kind": "arxiv",
    "version": 1
  }
}