Pith Number

pith:66JAUPFH

pith:2016:66JAUPFHYS5N52N5BVTS3RRB6H

not attested not anchored not stored refs pending

Canonical contact unit cotangent bundle

Burak Ozbagci, Takahiro Oba

arxiv:1601.05574 v2 · 2016-01-21 · math.GT · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{66JAUPFHYS5N52N5BVTS3RRB6H}

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	2026-05-18T00:01:00.988118Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f7920a3ca7c4badee9bd0d672dc621f1e1bbfe99fa332b77c2c86fce885f91d8

Aliases

arxiv: 1601.05574 · arxiv_version: 1601.05574v2 · doi: 10.48550/arxiv.1601.05574 · pith_short_12: 66JAUPFHYS5N · pith_short_16: 66JAUPFHYS5N52N5 · pith_short_8: 66JAUPFH

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/66JAUPFHYS5N52N5BVTS3RRB6H \
  | 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: f7920a3ca7c4badee9bd0d672dc621f1e1bbfe99fa332b77c2c86fce885f91d8

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bd5760149bcd9fbda14ec1999b75756c7a8db67e67189822f1c34768f70ebb58",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-01-21T10:01:01Z",
    "title_canon_sha256": "34a69d33bf5a8afb89bbca4abf89c67ad2d844bcafbb324eddebf57d59ff5810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.05574",
    "kind": "arxiv",
    "version": 2
  }
}