Pith Number

pith:6Z3RBI6Q

pith:2012:6Z3RBI6QHOR26DEIBOE4NMOVXS

not attested not anchored not stored refs pending

Gibbs states over the cone of discrete measures

Dennis Hagedorn, Michael R\"ockner, Tanja Pasurek, Yuri Kondratiev

arxiv:1207.2973 v1 · 2012-07-12 · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6Z3RBI6QHOR26DEIBOE4NMOVXS}

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	2026-05-18T03:51:13.358097Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f67710a3d03ba3af0c880b89c6b1d5bc8aa380679871a370fa0a778e28850806

Aliases

arxiv: 1207.2973 · arxiv_version: 1207.2973v1 · doi: 10.48550/arxiv.1207.2973 · pith_short_12: 6Z3RBI6QHOR2 · pith_short_16: 6Z3RBI6QHOR26DEI · pith_short_8: 6Z3RBI6Q

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/6Z3RBI6QHOR26DEIBOE4NMOVXS \
  | 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: f67710a3d03ba3af0c880b89c6b1d5bc8aa380679871a370fa0a778e28850806

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5680396e7cba70bca5efb8690da55042d56edffa4cf3f621afd68d00d534fc7e",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-12T14:08:46Z",
    "title_canon_sha256": "a003a50631c5666227dc5f5e1a3cf42f0257c75bcb84a3f406d37b75df95a790"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.2973",
    "kind": "arxiv",
    "version": 1
  }
}