Pith Number

pith:SSHYB3JR

pith:2010:SSHYB3JRF7KIJ3WO2QCZDUTA7Q

not attested not anchored not stored refs pending

Maximal admissible faces and asymptotic bounds for the normal surface solution space

Benjamin A. Burton

arxiv:1004.2605 v2 · 2010-04-15 · math.GT · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{SSHYB3JRF7KIJ3WO2QCZDUTA7Q}

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	2026-05-18T04:31:13.099393Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

948f80ed312fd484eeced40591d260fc2b3892ea27c1562e3b76df68e9ec3d02

Aliases

arxiv: 1004.2605 · arxiv_version: 1004.2605v2 · doi: 10.48550/arxiv.1004.2605 · pith_short_12: SSHYB3JRF7KI · pith_short_16: SSHYB3JRF7KIJ3WO · pith_short_8: SSHYB3JR

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/SSHYB3JRF7KIJ3WO2QCZDUTA7Q \
  | 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: 948f80ed312fd484eeced40591d260fc2b3892ea27c1562e3b76df68e9ec3d02

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7a883403febb0b74241dd546644160a6741a8c36065af35af541ae7e4fdd97f5",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-04-15T11:17:48Z",
    "title_canon_sha256": "493b3587b554f8187e48138bd1c0b6b457d9e8259a8b1c7862ae9ec89335da40"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1004.2605",
    "kind": "arxiv",
    "version": 2
  }
}