Pith Number

pith:RYY5FTE4

pith:2006:RYY5FTE43EYYZAGWN4QKVFV74I

not attested not anchored not stored refs pending

Flat Surfaces

Anton Zorich

arxiv:math/0609392 v2 · 2006-09-14 · math.DS · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYY5FTE43EYYZAGWN4QKVFV74I}

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	2026-05-18T02:54:47.675936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e31d2cc9cd9318c80d66f20aa96bfe236276ca613d88d59cd86e9ccb5c1f379

Aliases

arxiv: math/0609392 · arxiv_version: math/0609392v2 · doi: 10.48550/arxiv.math/0609392 · pith_short_12: RYY5FTE43EYY · pith_short_16: RYY5FTE43EYYZAGW · pith_short_8: RYY5FTE4

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/RYY5FTE43EYYZAGWN4QKVFV74I \
  | 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: 8e31d2cc9cd9318c80d66f20aa96bfe236276ca613d88d59cd86e9ccb5c1f379

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c1de86676e1713c852b6f9a6c81f2b4f0424ee428ba9377cf3c6b1a9d8a1a94d",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-09-14T13:37:21Z",
    "title_canon_sha256": "8d3df9c169bf668933ddde0ad1751eac1e709891abab690ad59884a592cd4246"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609392",
    "kind": "arxiv",
    "version": 2
  }
}