Pith Number

pith:ZIFZAVGI

pith:2019:ZIFZAVGIPB7EMYJOFU73VCVCVT

not attested not anchored not stored refs pending

Limits of Sparse Configuration Models and Beyond: Graphexes and Multi-Graphexes

Christian Borgs, Jennifer T. Chayes, Souvik Dhara, Subhabrata Sen

arxiv:1907.01605 v1 · 2019-07-02 · 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{ZIFZAVGIPB7EMYJOFU73VCVCVT}

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	2026-05-17T23:41:35.814329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca0b9054c8787e46612e2d3fba8aa2acdd7742a6f1f578cc274502b50a3f8a38

Aliases

arxiv: 1907.01605 · arxiv_version: 1907.01605v1 · doi: 10.48550/arxiv.1907.01605 · pith_short_12: ZIFZAVGIPB7E · pith_short_16: ZIFZAVGIPB7EMYJO · pith_short_8: ZIFZAVGI

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/ZIFZAVGIPB7EMYJOFU73VCVCVT \
  | 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: ca0b9054c8787e46612e2d3fba8aa2acdd7742a6f1f578cc274502b50a3f8a38

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a9c0873fbf3f5d588ae0406781f65652a8ea0b73fca62423a6c1af1653d90f4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2019-07-02T19:50:32Z",
    "title_canon_sha256": "a96184f69777385a6f028b0e243568ea73b0bf61a89562eabe54519671824021"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1907.01605",
    "kind": "arxiv",
    "version": 1
  }
}