Pith Number

pith:X7V7RFHR

pith:2021:X7V7RFHRVICTX374INXYIZGWZE

not attested not anchored not stored refs pending

Optimizing the Human Learnability of Abstract Network Representations

Andrei A. Klishin, Christopher W. Lynn, Dani S. Bassett, Jennifer Stiso, Nicolas H. Christianson, William Qian

arxiv:2111.12236 v2 · 2021-11-24 · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{X7V7RFHRVICTX374INXYIZGWZE}

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	2026-07-05T05:05:28.923028Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bfebf894f1aa053beffc436f8464d6c9086f9e6248af503ef2110d2f4b619f0b

Aliases

arxiv: 2111.12236 · arxiv_version: 2111.12236v2 · doi: 10.48550/arxiv.2111.12236 · pith_short_12: X7V7RFHRVICT · pith_short_16: X7V7RFHRVICTX374 · pith_short_8: X7V7RFHR

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/X7V7RFHRVICTX374INXYIZGWZE \
  | 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: bfebf894f1aa053beffc436f8464d6c9086f9e6248af503ef2110d2f4b619f0b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "61b19b3bf26e249cbc20899172f115dde9471feb223912804bf867cd8ac96239",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "physics.soc-ph",
    "submitted_at": "2021-11-24T02:54:17Z",
    "title_canon_sha256": "c21f3d1d2ae1154297e829dd48e651a6d49cd6b2f27f9b171322ff82f651a6ea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.12236",
    "kind": "arxiv",
    "version": 2
  }
}