Pith Number

pith:GYMB3PHY

pith:2019:GYMB3PHY4PRY3GC3CJGFW7JS76

not attested not anchored not stored refs pending

Random interlacements for vertex-reinforced jump processes

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

arxiv:1903.07910 v1 · 2019-03-19 · 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{GYMB3PHY4PRY3GC3CJGFW7JS76}

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	2026-05-17T23:50:53.498834Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

36181dbcf8e3e38d985b124c5b7d32ff83a7f72f8b3363c06c9fca120e6f8fd2

Aliases

arxiv: 1903.07910 · arxiv_version: 1903.07910v1 · doi: 10.48550/arxiv.1903.07910 · pith_short_12: GYMB3PHY4PRY · pith_short_16: GYMB3PHY4PRY3GC3 · pith_short_8: GYMB3PHY

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/GYMB3PHY4PRY3GC3CJGFW7JS76 \
  | 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: 36181dbcf8e3e38d985b124c5b7d32ff83a7f72f8b3363c06c9fca120e6f8fd2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56172a41ba55c8cb971690d442bbfa44859bb9b24fe2988b1829b937e257d748",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-03-19T10:01:43Z",
    "title_canon_sha256": "b07afbd61b4bf9ceda3bcd39733960ac638ac805b4ba6fa92e72b83b05da2bc6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1903.07910",
    "kind": "arxiv",
    "version": 1
  }
}