Pith Number

pith:HUNRS722

pith:2011:HUNRS7226CTVFRRNWPMI3IFCAT

not attested not anchored not stored refs pending

Finiteness theorems and algorithms for permutation invariant chains of Laurent lattice ideals

Abraham Martin del Campo, Christopher J. Hillar

arxiv:1110.0785 v3 · 2011-10-04 · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HUNRS7226CTVFRRNWPMI3IFCAT}

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	2026-05-18T02:25:11.718296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3d1b197f5af0a752c62db3d88da0a204fb1c8a5ea5c4d7660d38d7a526d1b41b

Aliases

arxiv: 1110.0785 · arxiv_version: 1110.0785v3 · doi: 10.48550/arxiv.1110.0785 · pith_short_12: HUNRS7226CTV · pith_short_16: HUNRS7226CTVFRRN · pith_short_8: HUNRS722

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/HUNRS7226CTVFRRNWPMI3IFCAT \
  | 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: 3d1b197f5af0a752c62db3d88da0a204fb1c8a5ea5c4d7660d38d7a526d1b41b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "921ec0a1465355ef066d5be02fbe29ec6b14957ae32023f28aca76c69561552c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2011-10-04T18:42:35Z",
    "title_canon_sha256": "10b491d017175e4dda2e33f9604557c705353ade7767a94876a2b8260ce529b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.0785",
    "kind": "arxiv",
    "version": 3
  }
}