Pith Number

pith:KAJIXKZW

pith:2005:KAJIXKZWKSMVZGCAPY3KTJ6UQN

not attested not anchored not stored refs pending

High Dimensional Apollonian Networks

Francesc Comellas, Guillaume Fertin, Lili Rong, Zhongzhi Zhang

arxiv:cond-mat/0503316 v2 · 2005-03-13 · cond-mat.other

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KAJIXKZWKSMVZGCAPY3KTJ6UQN}

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	2026-05-18T01:39:53.560294Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

50128bab3654995c98407e36a9a7d48353cf659d89e0215e4d7fb1e0aef6b9e4

Aliases

arxiv: cond-mat/0503316 · arxiv_version: cond-mat/0503316v2 · doi: 10.48550/arxiv.cond-mat/0503316 · pith_short_12: KAJIXKZWKSMV · pith_short_16: KAJIXKZWKSMVZGCA · pith_short_8: KAJIXKZW

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/KAJIXKZWKSMVZGCAPY3KTJ6UQN \
  | 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: 50128bab3654995c98407e36a9a7d48353cf659d89e0215e4d7fb1e0aef6b9e4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ff38fb6ec70465e4c9b942b9fe7505c2999256164decb6c0d4f018849534a4da",
    "cross_cats_sorted": [],
    "license": "",
    "primary_cat": "cond-mat.other",
    "submitted_at": "2005-03-13T22:13:50Z",
    "title_canon_sha256": "b40f22bcc34948d264a731ed22d7e29435d0982702117c991a494fac6191d0d1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "cond-mat/0503316",
    "kind": "arxiv",
    "version": 2
  }
}