Pith Number

pith:TRXPWCZI

pith:2008:TRXPWCZIRG4KSGMONNRLWEUXIE

not attested not anchored not stored refs pending

The Volume of a Local Nodal Domain

Dan Mangoubi

arxiv:0806.3327 v5 · 2008-06-20 · math.SP · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TRXPWCZIRG4KSGMONNRLWEUXIE}

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	2026-05-18T04:37:34.487789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c6efb0b2889b8a9198e6b62bb1297410e8922d6779b6c024223d48e59b48a1f

Aliases

arxiv: 0806.3327 · arxiv_version: 0806.3327v5 · doi: 10.48550/arxiv.0806.3327 · pith_short_12: TRXPWCZIRG4K · pith_short_16: TRXPWCZIRG4KSGMO · pith_short_8: TRXPWCZI

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/TRXPWCZIRG4KSGMONNRLWEUXIE \
  | 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: 9c6efb0b2889b8a9198e6b62bb1297410e8922d6779b6c024223d48e59b48a1f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0ea01da442cded9b1582892eff40c0d23f04dbcc3b2d301522937432cdbc4064",
    "cross_cats_sorted": [
      "math.AP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2008-06-20T14:14:29Z",
    "title_canon_sha256": "94ff4f4441503ee869ce2e90f7c7356a917fe1d23585e8f9aaa94e0b9841db82"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0806.3327",
    "kind": "arxiv",
    "version": 5
  }
}