Pith Number

pith:OHZANHZR

pith:2008:OHZANHZRTVLTHFGJI33SEXYRQ2

not attested not anchored not stored refs pending

Point configurations that are asymmetric yet balanced

Abhinav Kumar, Achill Schuermann, Henry Cohn, Noam D. Elkies

arxiv:0812.2579 v3 · 2008-12-13 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{OHZANHZRTVLTHFGJI33SEXYRQ2}

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	2026-05-18T03:52:51.804199Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

71f2069f319d573394c946f7225f11869c0471df80d589f87133a02af6f1021b

Aliases

arxiv: 0812.2579 · arxiv_version: 0812.2579v3 · doi: 10.48550/arxiv.0812.2579 · pith_short_12: OHZANHZRTVLT · pith_short_16: OHZANHZRTVLTHFGJ · pith_short_8: OHZANHZR

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/OHZANHZRTVLTHFGJI33SEXYRQ2 \
  | 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: 71f2069f319d573394c946f7225f11869c0471df80d589f87133a02af6f1021b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b8ebeb4f3d39ada44e2673b2c32b356aeed897128fceac6bc6ffc8b2b95fc69",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2008-12-13T20:10:54Z",
    "title_canon_sha256": "aad12e5a950d9cd7542fd56531c09d327440c349b5ddeda0020572a892469026"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0812.2579",
    "kind": "arxiv",
    "version": 3
  }
}