Pith Number

pith:OWJJD2AT

pith:2011:OWJJD2ATDANZBOZCTXYETRUQIQ

not attested not anchored not stored refs pending

Isospectral Submersion Metrics

Alexander Engel

arxiv:1103.3418 v2 · 2011-03-17 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OWJJD2ATDANZBOZCTXYETRUQIQ}

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	2026-05-18T03:32:32.033063Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

759291e813181b90bb229df049c690442c1320f3eb80c740687367a1d0708843

Aliases

arxiv: 1103.3418 · arxiv_version: 1103.3418v2 · doi: 10.48550/arxiv.1103.3418 · pith_short_12: OWJJD2ATDANZ · pith_short_16: OWJJD2ATDANZBOZC · pith_short_8: OWJJD2AT

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/OWJJD2ATDANZBOZCTXYETRUQIQ \
  | 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: 759291e813181b90bb229df049c690442c1320f3eb80c740687367a1d0708843

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6a5040a73bddcb9ae1c930fd37d60fa2f1cc373290cfa99f208fcbfe39b2cb30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2011-03-17T14:10:03Z",
    "title_canon_sha256": "8a8113c5238c7023a4eecb3ff850e8888a8e19f0dd6b57627ac95102442201fa"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1103.3418",
    "kind": "arxiv",
    "version": 2
  }
}