Pith Number

pith:YZ6QCOMA

pith:2008:YZ6QCOMAXCYUHEHCDOUCYXQO4U

not attested not anchored not stored refs pending

The structure of Valdivia compact lines

Ondrej Kalenda, Wieslaw Kubis

arxiv:0811.4144 v2 · 2008-11-25 · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YZ6QCOMAXCYUHEHCDOUCYXQO4U}

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	2026-05-18T03:42:45.077173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c67d013980b8b14390e21ba82c5e0ee50162dacd0ba42b7dc08a0a052bdfac7f

Aliases

arxiv: 0811.4144 · arxiv_version: 0811.4144v2 · doi: 10.48550/arxiv.0811.4144 · pith_short_12: YZ6QCOMAXCYU · pith_short_16: YZ6QCOMAXCYUHEHC · pith_short_8: YZ6QCOMA

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/YZ6QCOMAXCYUHEHCDOUCYXQO4U \
  | 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: c67d013980b8b14390e21ba82c5e0ee50162dacd0ba42b7dc08a0a052bdfac7f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7924af9b456a7e19ab7fc3c5c1ae5ab50f1af6f2a7b1ff023c04839236d4d557",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2008-11-25T20:01:42Z",
    "title_canon_sha256": "4ced5b7591d6909a837b758ca4dc35e77642582c7140533322ac0f1f9a4f3efc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0811.4144",
    "kind": "arxiv",
    "version": 2
  }
}