Pith Number

pith:CYBEWNGU

pith:2011:CYBEWNGUFQ2CBNCLIRXUVVIUPM

not attested not anchored not stored refs pending

The Entropic Discriminant

Bernd Sturmfels, Cynthia Vinzant, Raman Sanyal

arxiv:1108.2925 v3 · 2011-08-15 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CYBEWNGUFQ2CBNCLIRXUVVIUPM}

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	2026-05-18T03:07:04.063294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

16024b34d42c3420b44b446f4ad5147b27a37ebcaa307666d24ac57ef40d7d26

Aliases

arxiv: 1108.2925 · arxiv_version: 1108.2925v3 · doi: 10.48550/arxiv.1108.2925 · pith_short_12: CYBEWNGUFQ2C · pith_short_16: CYBEWNGUFQ2CBNCL · pith_short_8: CYBEWNGU

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/CYBEWNGUFQ2CBNCLIRXUVVIUPM \
  | 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: 16024b34d42c3420b44b446f4ad5147b27a37ebcaa307666d24ac57ef40d7d26

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8589bea11626f5af2f521dec891161d7d555695be6f73de5344e5f8c07a7fc5c",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2011-08-15T03:09:55Z",
    "title_canon_sha256": "8a73dea1cd13889a68d528a4d02f9367c1a427aa66f2bd4af4c08bddf6ef4535"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.2925",
    "kind": "arxiv",
    "version": 3
  }
}