Pith Number

pith:AR6MRIEB

pith:2012:AR6MRIEBD2BNFHF2ORYJJUJBOX

not attested not anchored not stored refs pending

Minkowski Polynomials and Mutations

Alexander M. Kasprzyk, Mohammad Akhtar, Sergey Galkin, Tom Coates

arxiv:1212.1785 v1 · 2012-12-08 · 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{AR6MRIEBD2BNFHF2ORYJJUJBOX}

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	2026-05-18T03:38:45.686361Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

047cc8a0811e82d29cba747094d12175f163206fdade62cd58b019575f44d703

Aliases

arxiv: 1212.1785 · arxiv_version: 1212.1785v1 · doi: 10.48550/arxiv.1212.1785 · pith_short_12: AR6MRIEBD2BN · pith_short_16: AR6MRIEBD2BNFHF2 · pith_short_8: AR6MRIEB

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/AR6MRIEBD2BNFHF2ORYJJUJBOX \
  | 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: 047cc8a0811e82d29cba747094d12175f163206fdade62cd58b019575f44d703

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b9913f01fcc4451c2c0842cd181eafdea162ad2f78ca93cdb6158ab3eea08b1",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-12-08T12:37:18Z",
    "title_canon_sha256": "19ec67c18c50c7487508ff7d00179aa10e0fb2ee46c478ec9cb59cf0ad09dc4c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1212.1785",
    "kind": "arxiv",
    "version": 1
  }
}