Pith Number

pith:435EKRCL

pith:2012:435EKRCLDGFW23N5MBH6ULS76T

not attested not anchored not stored refs pending

Tutte polynomial of pseudofractal scale-free web

Guoai Xu, Junhao Peng

arxiv:1207.6864 v2 · 2012-07-30 · math-ph · cs.CC · 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{435EKRCLDGFW23N5MBH6ULS76T}

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	2026-05-18T01:32:50.997050Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e6fa45444b198b6d6dbd604fea2e5ff4fba8892a92b6b0734fc41f94e542d78a

Aliases

arxiv: 1207.6864 · arxiv_version: 1207.6864v2 · doi: 10.48550/arxiv.1207.6864 · pith_short_12: 435EKRCLDGFW · pith_short_16: 435EKRCLDGFW23N5 · pith_short_8: 435EKRCL

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/435EKRCLDGFW23N5MBH6ULS76T \
  | 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: e6fa45444b198b6d6dbd604fea2e5ff4fba8892a92b6b0734fc41f94e542d78a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bf919f059b3174adcc5a8be1f17450bc69f03edda4ae7f4adb7fa89b6ef5972d",
    "cross_cats_sorted": [
      "cs.CC",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2012-07-30T08:21:41Z",
    "title_canon_sha256": "c2747a102d119ee025bb8f99337f96ccfbe79f42b30701ad3c91f40d2663de50"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.6864",
    "kind": "arxiv",
    "version": 2
  }
}