Pith Number

pith:ZB3Z4LUR

pith:2009:ZB3Z4LURR77SYSICYFUC4JWG3G

not attested not anchored not stored refs pending

Spherical gradient manifolds

Christian Miebach, Henrik Stoetzel

arxiv:0908.3998 v1 · 2009-08-27 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZB3Z4LURR77SYSICYFUC4JWG3G}

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	2026-05-18T04:31:13.237393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8779e2e918fff2c4902c1682e26c6d99fc6878beba94932a6f9facc3dd57635

Aliases

arxiv: 0908.3998 · arxiv_version: 0908.3998v1 · doi: 10.48550/arxiv.0908.3998 · pith_short_12: ZB3Z4LURR77S · pith_short_16: ZB3Z4LURR77SYSIC · pith_short_8: ZB3Z4LUR

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/ZB3Z4LURR77SYSICYFUC4JWG3G \
  | 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: c8779e2e918fff2c4902c1682e26c6d99fc6878beba94932a6f9facc3dd57635

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8b61ae113d6ae2b06c4b65e9a61226cc8556d5b894bdf6da13f39515387db64b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2009-08-27T12:27:52Z",
    "title_canon_sha256": "cfd73a300f0defdd8047958e7c56fb4c1433b95ae72fba522f4d260978e35228"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0908.3998",
    "kind": "arxiv",
    "version": 1
  }
}