Pith Number

pith:6DH5A3X5

pith:2013:6DH5A3X5CABYSW7QWAQUFULVZB

not attested not anchored not stored refs pending

Natural orbital networks

Oliver Knill

arxiv:1311.6554 v1 · 2013-11-26 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6DH5A3X5CABYSW7QWAQUFULVZB}

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	2026-05-18T03:06:12.374489Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0cfd06efd1003895bf0b02142d175c8707413ba892497dc306e0898c88160ec

Aliases

arxiv: 1311.6554 · arxiv_version: 1311.6554v1 · doi: 10.48550/arxiv.1311.6554 · pith_short_12: 6DH5A3X5CABY · pith_short_16: 6DH5A3X5CABYSW7Q · pith_short_8: 6DH5A3X5

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/6DH5A3X5CABYSW7QWAQUFULVZB \
  | 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: f0cfd06efd1003895bf0b02142d175c8707413ba892497dc306e0898c88160ec

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9016dda18db935103e1c9458205b0d0e10ea6233d52b67680101f2c0ea3a09e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2013-11-26T04:47:37Z",
    "title_canon_sha256": "4050382401a89d7cedc4514a2a9be4a6f0ae94ca6213f300467dc9106ae8d1bf"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1311.6554",
    "kind": "arxiv",
    "version": 1
  }
}