Pith Number

pith:FV23UTH6

pith:2016:FV23UTH6AHYJH6WQPUHMLARYBM

not attested not anchored not stored refs pending

Crofton Formulas and Indefinite Signature

Dmitry Faifman, with an appendix joint with Thomas Wannerer

arxiv:1612.01625 v3 · 2016-12-06 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FV23UTH6AHYJH6WQPUHMLARYBM}

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	2026-05-18T00:42:23.678102Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2d75ba4cfe01f093fad07d0ec582380b04d5bfb4f5737503623116bc3b9bd646

Aliases

arxiv: 1612.01625 · arxiv_version: 1612.01625v3 · doi: 10.48550/arxiv.1612.01625 · pith_short_12: FV23UTH6AHYJ · pith_short_16: FV23UTH6AHYJH6WQ · pith_short_8: FV23UTH6

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/FV23UTH6AHYJH6WQPUHMLARYBM \
  | 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: 2d75ba4cfe01f093fad07d0ec582380b04d5bfb4f5737503623116bc3b9bd646

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f33d97cbba47be5985f44624cd890d5cddc9ee42cbe9b54a4067d14083847961",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2016-12-06T01:42:40Z",
    "title_canon_sha256": "1b4982d829ec64f0fdf2f4e0dde33aef4c62c1c0355313561168b530cea5b28a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01625",
    "kind": "arxiv",
    "version": 3
  }
}