Pith Number

pith:5RQIVF5H

pith:2014:5RQIVF5HCWV4HYNOXLB47LCLTA

not attested not anchored not stored refs pending

Lie Ideal Enhancements of Counting Invariants

Gillian Roxanne Grindstaff, Sam Nelson

arxiv:1404.5642 v2 · 2014-04-22 · math.GT · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5RQIVF5HCWV4HYNOXLB47LCLTA}

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	2026-05-18T01:36:15.609104Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ec608a97a715abc3e1aebac3cfac4b982fac30621a8914b48a173774dd862550

Aliases

arxiv: 1404.5642 · arxiv_version: 1404.5642v2 · doi: 10.48550/arxiv.1404.5642 · pith_short_12: 5RQIVF5HCWV4 · pith_short_16: 5RQIVF5HCWV4HYNO · pith_short_8: 5RQIVF5H

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/5RQIVF5HCWV4HYNOXLB47LCLTA \
  | 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: ec608a97a715abc3e1aebac3cfac4b982fac30621a8914b48a173774dd862550

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c80474a0449e54ce8b93f9c4ffd05d8a8f308485dc5b31ea3209cde32a3ffab3",
    "cross_cats_sorted": [
      "math.QA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-04-22T20:46:02Z",
    "title_canon_sha256": "449d0afdb8ffa5f938b3a0fc2762597d89d5854ff2cb514ccc794271e4d5261f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5642",
    "kind": "arxiv",
    "version": 2
  }
}