Pith Number

pith:JXFXEUMQ

pith:2013:JXFXEUMQ6T55BPCFNFV6YZOQF4

not attested not anchored not stored refs pending

A Real Nullstellensatz for Free Modules

Jaka Cimpric

arxiv:1302.2358 v2 · 2013-02-10 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JXFXEUMQ6T55BPCFNFV6YZOQF4}

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	2026-05-18T00:17:55.711604Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4dcb725190f4fbd0bc45696bec65d02f0a4ac221d5cd73d5a5c53550e671e712

Aliases

arxiv: 1302.2358 · arxiv_version: 1302.2358v2 · doi: 10.48550/arxiv.1302.2358 · pith_short_12: JXFXEUMQ6T55 · pith_short_16: JXFXEUMQ6T55BPCF · pith_short_8: JXFXEUMQ

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/JXFXEUMQ6T55BPCFNFV6YZOQF4 \
  | 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: 4dcb725190f4fbd0bc45696bec65d02f0a4ac221d5cd73d5a5c53550e671e712

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b21c0e90bded866a06fa39ff0f8aafca52ca24ff10871afb799b553779980b2",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-02-10T20:23:27Z",
    "title_canon_sha256": "92b338935042a1d1096e9cc87116a50e86c0e8e53d96b3989e58c8c281cf24e4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1302.2358",
    "kind": "arxiv",
    "version": 2
  }
}