Pith Number

pith:L3SA3DKS

pith:2014:L3SA3DKSNT343HL6OB4WEAVOH3

not attested not anchored not stored refs pending

Piecewise-linear and birational toggling

David Einstein, James Propp

arxiv:1404.3455 v1 · 2014-04-14 · 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{L3SA3DKSNT343HL6OB4WEAVOH3}

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	2026-05-18T00:06:31.253824Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5ee40d8d526cf7cd9d7e70796202ae3efa9ba48294ccafc5c6b0ede917ecc4c6

Aliases

arxiv: 1404.3455 · arxiv_version: 1404.3455v1 · doi: 10.48550/arxiv.1404.3455 · pith_short_12: L3SA3DKSNT34 · pith_short_16: L3SA3DKSNT343HL6 · pith_short_8: L3SA3DKS

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/L3SA3DKSNT343HL6OB4WEAVOH3 \
  | 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: 5ee40d8d526cf7cd9d7e70796202ae3efa9ba48294ccafc5c6b0ede917ecc4c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5206017295b9923ad299ef0c031c1223b27d27d0ea9f0221faeffe7430c59219",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2014-04-14T02:56:47Z",
    "title_canon_sha256": "3b07d644bed99cf80af4065ccd298dfedcb5fee7abb655373c38c03d6af09042"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.3455",
    "kind": "arxiv",
    "version": 1
  }
}