Pith Number

pith:B62E5XC6

pith:2013:B62E5XC6VJR2MWRZIMY7J3IOHR

not attested not anchored not stored refs pending

Upper Bounds for Mutations of Potentials

John Alexander Cruz Morales, Sergey Galkin

arxiv:1301.4541 v1 · 2013-01-19 · math.RT · math.AG · math.QA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B62E5XC6VJR2MWRZIMY7J3IOHR}

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	2026-05-18T03:35:53.469379Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0fb44edc5eaa63a65a394331f4ed0e3c720f0df9fe00d0de4fd690ecff7c4967

Aliases

arxiv: 1301.4541 · arxiv_version: 1301.4541v1 · doi: 10.48550/arxiv.1301.4541 · pith_short_12: B62E5XC6VJR2 · pith_short_16: B62E5XC6VJR2MWRZ · pith_short_8: B62E5XC6

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/B62E5XC6VJR2MWRZIMY7J3IOHR \
  | 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: 0fb44edc5eaa63a65a394331f4ed0e3c720f0df9fe00d0de4fd690ecff7c4967

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2294ed209a95815db05b235fc63c55eb53224f6d1110eb3b4269841e614ee8fa",
    "cross_cats_sorted": [
      "math.AG",
      "math.QA"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2013-01-19T08:17:20Z",
    "title_canon_sha256": "aefa882b80b4218c06baabdd7d86945d9935a6838946ac356d909eb325b31a94"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4541",
    "kind": "arxiv",
    "version": 1
  }
}