Pith Number

pith:5YFC4WEO

pith:2011:5YFC4WEOSRL4LCP7DRD6FHXRN3

not attested not anchored not stored refs pending

Emergent structures in large networks

Charles Radin, David Aristoff

arxiv:1110.1912 v1 · 2011-10-10 · math.PR · math-ph · math.CO · math.MP

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{5YFC4WEOSRL4LCP7DRD6FHXRN3}

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	2026-05-18T01:34:40.278580Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ee0a2e588e9457c589ff1c47e29ef16edc787b584925e808395eafc50f3343c4

Aliases

arxiv: 1110.1912 · arxiv_version: 1110.1912v1 · doi: 10.48550/arxiv.1110.1912 · pith_short_12: 5YFC4WEOSRL4 · pith_short_16: 5YFC4WEOSRL4LCP7 · pith_short_8: 5YFC4WEO

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/5YFC4WEOSRL4LCP7DRD6FHXRN3 \
  | 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: ee0a2e588e9457c589ff1c47e29ef16edc787b584925e808395eafc50f3343c4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8a58895cf79bd9cc29ffece94b7ba48879a1229989621e62a9cdaa63bb5f6cc0",
    "cross_cats_sorted": [
      "math-ph",
      "math.CO",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.PR",
    "submitted_at": "2011-10-10T02:58:21Z",
    "title_canon_sha256": "54154919d327eeb329c237720a160f56288c8f231352b161af3f190b27188de8"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1912",
    "kind": "arxiv",
    "version": 1
  }
}