Pith Number

pith:CAO4LLRZ

pith:2016:CAO4LLRZLVLWMU743RHOJRNGW3

not attested not anchored not stored refs pending

Lonely points revisited

Jonathan L. Verner

arxiv:1607.06273 v1 · 2016-07-21 · 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{CAO4LLRZLVLWMU743RHOJRNGW3}

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	2026-05-18T01:10:42.112827Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

101dc5ae395d576653fcdc4ee4c5a6b6db5d1fee9d17a2f39dd91c329bf5e987

Aliases

arxiv: 1607.06273 · arxiv_version: 1607.06273v1 · doi: 10.48550/arxiv.1607.06273 · pith_short_12: CAO4LLRZLVLW · pith_short_16: CAO4LLRZLVLWMU74 · pith_short_8: CAO4LLRZ

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/CAO4LLRZLVLWMU743RHOJRNGW3 \
  | 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: 101dc5ae395d576653fcdc4ee4c5a6b6db5d1fee9d17a2f39dd91c329bf5e987

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c8a39041f60d26d13aa490a5be93f62ae8f532d76b036c49ba6baf2ad1bd941a",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GN",
    "submitted_at": "2016-07-21T11:36:04Z",
    "title_canon_sha256": "c983eb5a66b36fb4e0e0b9fc1c81b847f8ffd5dc6ef6b8718fc767cd95e9e517"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.06273",
    "kind": "arxiv",
    "version": 1
  }
}