Pith Number

pith:JPXCJQJK

pith:2010:JPXCJQJKQNOWR4ECDBQGRPILUM

not attested not anchored not stored refs pending

Jump Sequences of Edge Ideals

Gwyneth Whieldon

arxiv:1012.0108 v1 · 2010-12-01 · math.AC · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JPXCJQJKQNOWR4ECDBQGRPILUM}

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	2026-05-18T04:34:18.941162Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4bee24c12a835d68f082186068bd0ba32128f57f54fa8a7f43e4286981b18791

Aliases

arxiv: 1012.0108 · arxiv_version: 1012.0108v1 · doi: 10.48550/arxiv.1012.0108 · pith_short_12: JPXCJQJKQNOW · pith_short_16: JPXCJQJKQNOWR4EC · pith_short_8: JPXCJQJK

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/JPXCJQJKQNOWR4ECDBQGRPILUM \
  | 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: 4bee24c12a835d68f082186068bd0ba32128f57f54fa8a7f43e4286981b18791

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "db1d16df928754ba6188c57a624bbe8627251e69d013f4404c953e8a7ad44a1c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2010-12-01T06:44:19Z",
    "title_canon_sha256": "e69823ac1351ee6a5e8934d96bf08515b5767aaef0ca810f6ef97f8b5c54dff8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1012.0108",
    "kind": "arxiv",
    "version": 1
  }
}