Pith Number

pith:TW4BNIPA

pith:2011:TW4BNIPA72ECKT2L6EWD6NQIWI

not attested not anchored not stored refs pending

On the rank of a symmetric form

Frank-Olaf Schreyer, Kristian Ranestad

arxiv:1104.3648 v1 · 2011-04-19 · 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{TW4BNIPA72ECKT2L6EWD6NQIWI}

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	2026-05-18T04:23:55.885880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9db816a1e0fe88254f4bf12c3f3608b2146cd5ec5c86f9d481f877777c05d3ed

Aliases

arxiv: 1104.3648 · arxiv_version: 1104.3648v1 · doi: 10.48550/arxiv.1104.3648 · pith_short_12: TW4BNIPA72EC · pith_short_16: TW4BNIPA72ECKT2L · pith_short_8: TW4BNIPA

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/TW4BNIPA72ECKT2L6EWD6NQIWI \
  | 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: 9db816a1e0fe88254f4bf12c3f3608b2146cd5ec5c86f9d481f877777c05d3ed

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "31761a3ecfff50b23b9607b6712433b0aa0c9acf125dd7a323b52a3d86905b06",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-04-19T06:41:54Z",
    "title_canon_sha256": "cb888c7b2cb8366b5988f6f8d4057b69a65f41378668d79fcd135280b5bf22d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1104.3648",
    "kind": "arxiv",
    "version": 1
  }
}