Pith Number

pith:QYG3R4SN

pith:2016:QYG3R4SNXPJYNAXUQTO2MSW655

not attested not anchored not stored refs pending

Rigid constellations of closed Reeb orbits

Ely Kerman

arxiv:1612.01073 v1 · 2016-12-04 · 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{QYG3R4SNXPJYNAXUQTO2MSW655}

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	2026-05-17T23:53:12.910838Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

860db8f24dbbd38682f484dda64adeef475a68e683d80d12b96e1f06145e31b2

Aliases

arxiv: 1612.01073 · arxiv_version: 1612.01073v1 · doi: 10.48550/arxiv.1612.01073 · pith_short_12: QYG3R4SNXPJY · pith_short_16: QYG3R4SNXPJYNAXU · pith_short_8: QYG3R4SN

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/QYG3R4SNXPJYNAXUQTO2MSW655 \
  | 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: 860db8f24dbbd38682f484dda64adeef475a68e683d80d12b96e1f06145e31b2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "acc03dafc39bbd61f187b16fad5f0f8b78039166fc03cec07f206c86e2588271",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-12-04T05:46:25Z",
    "title_canon_sha256": "d463e381f8039e189abd043f2f79e2cabee209a8dc14cf11046c1033d58c97e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01073",
    "kind": "arxiv",
    "version": 1
  }
}