Pith Number

pith:UXPZNM3E

pith:2014:UXPZNM3ENGURDUGBPGTJGTHDHI

not attested not anchored not stored refs pending

An affine version of a theorem of Nagata

Gene Freudenburg

arxiv:1405.6105 v2 · 2014-05-23 · 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{UXPZNM3ENGURDUGBPGTJGTHDHI}

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	2026-05-18T01:28:05.962020Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5df96b36469a911d0c179a6934ce33a0a01768c80b46a3b009adb985a9e9cd4

Aliases

arxiv: 1405.6105 · arxiv_version: 1405.6105v2 · doi: 10.48550/arxiv.1405.6105 · pith_short_12: UXPZNM3ENGUR · pith_short_16: UXPZNM3ENGURDUGB · pith_short_8: UXPZNM3E

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/UXPZNM3ENGURDUGBPGTJGTHDHI \
  | 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: a5df96b36469a911d0c179a6934ce33a0a01768c80b46a3b009adb985a9e9cd4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "48709a2d5ebdb63adfd2b38f743e75fac2ca261d05691a20f8292d78c43ad629",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AC",
    "submitted_at": "2014-05-23T15:54:51Z",
    "title_canon_sha256": "cbf78e2ede6b74ef5f0b04b403bdfef5d9b5be9d00c5524e1dc3449b6f39a313"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1405.6105",
    "kind": "arxiv",
    "version": 2
  }
}