Pith Number

pith:6LXLVMF7

pith:2013:6LXLVMF7TNKRV4QQOUSB5IYHXL

not attested not anchored not stored refs pending

A Macaulay2 package for characteristic classes and the topological Euler characteristic of complex projective schemes

Christine Jost

arxiv:1301.4125 v2 · 2013-01-17 · 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{6LXLVMF7TNKRV4QQOUSB5IYHXL}

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	2026-05-18T03:36:05.915505Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f2eebab0bf9b551af21075241ea307baefeafbc43ba257faca5daafef73f2d9a

Aliases

arxiv: 1301.4125 · arxiv_version: 1301.4125v2 · doi: 10.48550/arxiv.1301.4125 · pith_short_12: 6LXLVMF7TNKR · pith_short_16: 6LXLVMF7TNKRV4QQ · pith_short_8: 6LXLVMF7

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/6LXLVMF7TNKRV4QQOUSB5IYHXL \
  | 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: f2eebab0bf9b551af21075241ea307baefeafbc43ba257faca5daafef73f2d9a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dac2dd382ed44345251d762208d80c18e74e00f0c9214e2b0c98fae84937caa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-01-17T15:34:45Z",
    "title_canon_sha256": "732af1399143f50fdecc6a40363da491c152eb4eac8a859359ded77423a613fd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4125",
    "kind": "arxiv",
    "version": 2
  }
}