Pith Number

pith:USK3RUN6

pith:2005:USK3RUN65GCM3JYMXP77CNAJY6

not attested not anchored not stored refs pending

Harmonic algebraic curves and noncrossing partitions

David Savitt, Jeremy Martin, Ted Singer

arxiv:math/0511248 v1 · 2005-11-10 · math.CO · math.AG · math.CV

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USK3RUN65GCM3JYMXP77CNAJY6}

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	2026-05-18T04:11:40.912985Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a495b8d1bee984cda70cbbfff13409c7a5216b836eeab22136fb1c368bb6c076

Aliases

arxiv: math/0511248 · arxiv_version: math/0511248v1 · doi: 10.48550/arxiv.math/0511248 · pith_short_12: USK3RUN65GCM · pith_short_16: USK3RUN65GCM3JYM · pith_short_8: USK3RUN6

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/USK3RUN65GCM3JYMXP77CNAJY6 \
  | 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: a495b8d1bee984cda70cbbfff13409c7a5216b836eeab22136fb1c368bb6c076

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fdc0611df4491a1d8cf44a16ec21aeb1e86d6b53e51309e4698a97efdec68a16",
    "cross_cats_sorted": [
      "math.AG",
      "math.CV"
    ],
    "license": "",
    "primary_cat": "math.CO",
    "submitted_at": "2005-11-10T00:41:50Z",
    "title_canon_sha256": "751e14fdc333ab4f37f4aba4511b8be809107032e1fe2f7aa8c4e692b6743348"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0511248",
    "kind": "arxiv",
    "version": 1
  }
}