Pith Number

pith:WTIDFMG5

pith:2017:WTIDFMG57SXRE3EBN6Q2DHRJKK

not attested not anchored not stored refs pending

Preferential Attachment Random Graphs with Edge-Step Functions

Caio Alves, Remy Sanchis, Rodrigo Ribeiro

arxiv:1704.08276 v2 · 2017-04-26 · 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{WTIDFMG57SXRE3EBN6Q2DHRJKK}

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	2026-05-17T23:56:48.667049Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b4d032b0ddfcaf126c816fa1a19e2952b3dd1e227413a37b87dffe3419aa34ea

Aliases

arxiv: 1704.08276 · arxiv_version: 1704.08276v2 · doi: 10.48550/arxiv.1704.08276 · pith_short_12: WTIDFMG57SXR · pith_short_16: WTIDFMG57SXRE3EB · pith_short_8: WTIDFMG5

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/WTIDFMG57SXRE3EBN6Q2DHRJKK \
  | 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: b4d032b0ddfcaf126c816fa1a19e2952b3dd1e227413a37b87dffe3419aa34ea

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "51c1e51307736e8e9e2e0c0ccb8ac80a6b414d540c9ffc7601542dbac9f3f452",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2017-04-26T18:16:04Z",
    "title_canon_sha256": "110d202c4186815cbf9b968eae8532b915899d2ab9c0320bc31d88b9abe03efb"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1704.08276",
    "kind": "arxiv",
    "version": 2
  }
}