Pith Number

pith:U25HMIRF

pith:2016:U25HMIRFFXHWX7P5OAKZJGMIXO

not attested not anchored not stored refs pending

Convergence of vertex-reinforced jump processes to an extension of the supersymmetric hyperbolic nonlinear sigma model

Franz Merkl, Pierre Tarr\`es, Silke W.W. Rolles

arxiv:1612.05409 v2 · 2016-12-16 · math.PR · 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{U25HMIRFFXHWX7P5OAKZJGMIXO}

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	2026-05-17T23:51:00.420574Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6ba7622252dcf6bfdfd7015949988bb8d12e118cb8735dfb0589478a5563986

Aliases

arxiv: 1612.05409 · arxiv_version: 1612.05409v2 · doi: 10.48550/arxiv.1612.05409 · pith_short_12: U25HMIRFFXHW · pith_short_16: U25HMIRFFXHWX7P5 · pith_short_8: U25HMIRF

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/U25HMIRFFXHWX7P5OAKZJGMIXO \
  | 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: a6ba7622252dcf6bfdfd7015949988bb8d12e118cb8735dfb0589478a5563986

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4b7b2251ec775a0cd1aea325ee6737c58a10f74c61b78c4a1dbea2d1874b8173",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2016-12-16T10:00:34Z",
    "title_canon_sha256": "d1638964cfc18dd9d2f1e0815515996e07336ad421e54fd08a4fd83a278128d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.05409",
    "kind": "arxiv",
    "version": 2
  }
}