Pith Number

pith:LA3FPF65

pith:2007:LA3FPF654VTJLIIKTN3P2YDZR6

not attested not anchored not stored refs pending

Geometric properties derived from generic initial spaces

Gunnar Floystad, Mike Stillman

arxiv:0710.3271 v2 · 2007-10-17 · 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{LA3FPF654VTJLIIKTN3P2YDZR6}

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	2026-05-18T04:06:33.545659Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

58365797dde56695a10a9b76fd60798f86b766098a4490e35186a079e88ae55c

Aliases

arxiv: 0710.3271 · arxiv_version: 0710.3271v2 · doi: 10.48550/arxiv.0710.3271 · pith_short_12: LA3FPF654VTJ · pith_short_16: LA3FPF654VTJLIIK · pith_short_8: LA3FPF65

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/LA3FPF654VTJLIIKTN3P2YDZR6 \
  | 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: 58365797dde56695a10a9b76fd60798f86b766098a4490e35186a079e88ae55c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "23108d5d4593a12532c1030cb967e9ce63e5e1beea6762ffa8b68fa3faee25fe",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2007-10-17T11:29:37Z",
    "title_canon_sha256": "ee91e2a847f35c6b1903ccefd78606a93f8cd776906802ecedf3c12e69346864"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0710.3271",
    "kind": "arxiv",
    "version": 2
  }
}