Pith Number

pith:SDKUFWC7

pith:2020:SDKUFWC7IYUN4L6F6NRHTT36B5

not attested not anchored not stored refs pending

Persistence of hubs in growing random networks

Sayan Banerjee, Shankar Bhamidi

arxiv:2004.13785 v2 · 2020-04-28 · 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{SDKUFWC7IYUN4L6F6NRHTT36B5}

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	2026-07-05T02:40:18.962396Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

90d542d85f4628de2fc5f36279cf7e0f7b2b84f07d2ffa9ed5f5e2bc4e551d95

Aliases

arxiv: 2004.13785 · arxiv_version: 2004.13785v2 · doi: 10.48550/arxiv.2004.13785 · pith_short_12: SDKUFWC7IYUN · pith_short_16: SDKUFWC7IYUN4L6F · pith_short_8: SDKUFWC7

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/SDKUFWC7IYUN4L6F6NRHTT36B5 \
  | 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: 90d542d85f4628de2fc5f36279cf7e0f7b2b84f07d2ffa9ed5f5e2bc4e551d95

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "39a098fbec27ea39c5f3b7fd87cd805860d8d34fda6eec1430c71899caf11cfb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2020-04-28T19:33:35Z",
    "title_canon_sha256": "c21c0cc1ae79f3d927f2531411bb05fec6a694de9a169aef09718194ee0ec9d0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2004.13785",
    "kind": "arxiv",
    "version": 2
  }
}