Pith Number

pith:YVCWCC73

pith:2003:YVCWCC73YY22S53UJTTMRKY2AD

not attested not anchored not stored refs pending

On the norm principle for quadratic forms

I. Panin, K. Zainoulline, M. Ojanguren

arxiv:math/0311473 v2 · 2003-11-26 · math.AG · 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{YVCWCC73YY22S53UJTTMRKY2AD}

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	2026-07-04T14:48:09.990347Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c545610bfbc635a977744ce6c8ab1a00fc26b44bee1dd1d8966461fba3e20326

Aliases

arxiv: math/0311473 · arxiv_version: math/0311473v2 · doi: 10.48550/arxiv.math/0311473 · pith_short_12: YVCWCC73YY22 · pith_short_16: YVCWCC73YY22S53U · pith_short_8: YVCWCC73

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/YVCWCC73YY22S53UJTTMRKY2AD \
  | 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: c545610bfbc635a977744ce6c8ab1a00fc26b44bee1dd1d8966461fba3e20326

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e036d52d071245687cf0cdd664ad4187b478b3d7818576e47e62483892b67fd2",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "",
    "primary_cat": "math.AG",
    "submitted_at": "2003-11-26T13:43:20Z",
    "title_canon_sha256": "24fb4db75625c9e2450232350b362ce3abf87601d5990e74a6779e3f8a4e29fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0311473",
    "kind": "arxiv",
    "version": 2
  }
}