Pith Number

pith:UFMTOP2S

pith:2020:UFMTOP2SPGAJEKWALWOYDANKEZ

not attested not anchored not stored refs pending

Phase transition of disordered random networks on quasi-transitive graphs

Kainan Xiang, Yuelin Liu

arxiv:2010.01530 v1 · 2020-10-04 · 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{UFMTOP2SPGAJEKWALWOYDANKEZ}

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	2026-07-05T01:40:06.543656Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a159373f527980922ac05d9d8181aa2643eecd3be85b41a74990b954a8e8c13f

Aliases

arxiv: 2010.01530 · arxiv_version: 2010.01530v1 · doi: 10.48550/arxiv.2010.01530 · pith_short_12: UFMTOP2SPGAJ · pith_short_16: UFMTOP2SPGAJEKWA · pith_short_8: UFMTOP2S

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/UFMTOP2SPGAJEKWALWOYDANKEZ \
  | 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: a159373f527980922ac05d9d8181aa2643eecd3be85b41a74990b954a8e8c13f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6549b419c8089c3a2c197173d029ebe9fd6ebd1db1619bddb09438b1649735aa",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-10-04T10:11:53Z",
    "title_canon_sha256": "1c83bc24caf460a7c5d999613a01b932f3d27ccccfcfb3da02a5b34ad71738d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.01530",
    "kind": "arxiv",
    "version": 1
  }
}