Pith Number

pith:B2GQT3QL

pith:2012:B2GQT3QLY3H3XA3BGQD4SUUUSG

not attested not anchored not stored refs pending

Nonnegative polynomials and their Carath\'eodory number

Simone Naldi

arxiv:1209.3298 v3 · 2012-09-14 · 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{B2GQT3QLY3H3XA3BGQD4SUUUSG}

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	2026-05-18T02:52:34.837130Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e8d09ee0bc6cfbb83613407c95294918162e019a9dd060a0596a2aca8517f81

Aliases

arxiv: 1209.3298 · arxiv_version: 1209.3298v3 · doi: 10.48550/arxiv.1209.3298 · pith_short_12: B2GQT3QLY3H3 · pith_short_16: B2GQT3QLY3H3XA3B · pith_short_8: B2GQT3QL

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/B2GQT3QLY3H3XA3BGQD4SUUUSG \
  | 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: 0e8d09ee0bc6cfbb83613407c95294918162e019a9dd060a0596a2aca8517f81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "59a319c61f1de23aff84924d25b4bea8f110d1d0d21d4c515d518920c406fca7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-09-14T19:52:49Z",
    "title_canon_sha256": "4bc5a113ae684f71c10e095ac6a176668eb28e6e5521b2f68aa72efafc481ea0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.3298",
    "kind": "arxiv",
    "version": 3
  }
}