Pith Number

pith:RFAJESQO

pith:2012:RFAJESQOKJALBIDGJ3A3UI5FFX

not attested not anchored not stored refs pending

Discriminants, symmetrized graph monomials, and sums of squares certificates

Per Alexandersson

arxiv:1202.0416 v1 · 2012-02-02 · 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{RFAJESQOKJALBIDGJ3A3UI5FFX}

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	2026-05-18T04:03:18.363256Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8940924a0e5240b0a0664ec1ba23a52df2cde16e1d47d891e6dc2aa4d1271b5b

Aliases

arxiv: 1202.0416 · arxiv_version: 1202.0416v1 · doi: 10.48550/arxiv.1202.0416 · pith_short_12: RFAJESQOKJAL · pith_short_16: RFAJESQOKJALBIDG · pith_short_8: RFAJESQO

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/RFAJESQOKJALBIDGJ3A3UI5FFX \
  | 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: 8940924a0e5240b0a0664ec1ba23a52df2cde16e1d47d891e6dc2aa4d1271b5b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1d2e08f2fc624c2888f5d65b3138c6ff67a0506558f8e5194c53c2c53184bfed",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-02-02T12:05:22Z",
    "title_canon_sha256": "1f24d7d97a1effbb97230e22dbe16a68e704a5a0b72c0565ee78cac92ee166d6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1202.0416",
    "kind": "arxiv",
    "version": 1
  }
}