Pith Number

pith:YA2STQLG

pith:2015:YA2STQLGXRHFD77PJ5AHGA3U74

not attested not anchored not stored refs pending

A supersymmetric approach to martingales related to the vertex-reinforced jump process

Franz Merkl, Margherita Disertori, Silke W.W. Rolles

arxiv:1511.07157 v1 · 2015-11-23 · math.PR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YA2STQLGXRHFD77PJ5AHGA3U74}

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	2026-05-18T01:26:12.080217Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c03529c166bc4e51ffef4f40730374ff1543d0e23713267ab509c81a8fe97d7d

Aliases

arxiv: 1511.07157 · arxiv_version: 1511.07157v1 · doi: 10.48550/arxiv.1511.07157 · pith_short_12: YA2STQLGXRHF · pith_short_16: YA2STQLGXRHFD77P · pith_short_8: YA2STQLG

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/YA2STQLGXRHFD77PJ5AHGA3U74 \
  | 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: c03529c166bc4e51ffef4f40730374ff1543d0e23713267ab509c81a8fe97d7d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac52f5119fd8872f8e65e1a86240adad58b3a67836ff3b268f7fc063d6821e34",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2015-11-23T09:50:14Z",
    "title_canon_sha256": "cf535195dc44631b3cfb40312cf8e7d95a0492573f557560cc8f8daa0c6c841e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07157",
    "kind": "arxiv",
    "version": 1
  }
}