Pith Number

pith:UL4S2XW4

pith:2010:UL4S2XW4FF32T7A6U6R5GNUQWU

not attested not anchored not stored refs pending

A combinatorial invariant for Spherical CR structures

Elisha Falbel, Qingxue Wang

arxiv:1007.5228 v1 · 2010-07-29 · math.GT · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UL4S2XW4FF32T7A6U6R5GNUQWU}

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	2026-05-18T02:30:34.020795Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a2f92d5edc2977a9fc1ea7a3d33690b50e720240d4bf45bf0a866c23e5eea0f1

Aliases

arxiv: 1007.5228 · arxiv_version: 1007.5228v1 · doi: 10.48550/arxiv.1007.5228 · pith_short_12: UL4S2XW4FF32 · pith_short_16: UL4S2XW4FF32T7A6 · pith_short_8: UL4S2XW4

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/UL4S2XW4FF32T7A6U6R5GNUQWU \
  | 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: a2f92d5edc2977a9fc1ea7a3d33690b50e720240d4bf45bf0a866c23e5eea0f1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3aebbd3c5701e3fa4b6a83d2dc80bcec104e831e9237696c075516e669719dc8",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-07-29T14:31:11Z",
    "title_canon_sha256": "f697afef38bd5ca35128fe1463aa2a1a29af71612ee72efef7d7f4d002aed4fe"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.5228",
    "kind": "arxiv",
    "version": 1
  }
}