Pith Number

pith:M7XWPUFV

pith:2006:M7XWPUFVKRKISOO726SV5QGXWW

not attested not anchored not stored refs pending

Geodesics on Flat Surfaces

Anton Zorich

arxiv:math/0609399 v1 · 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{M7XWPUFVKRKISOO726SV5QGXWW}

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	2026-05-18T02:54:47.668422Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67ef67d0b554548939dfd7a55ec0d7b58d9cf63a15b47680520b0ea25adfe185

Aliases

arxiv: math/0609399 · arxiv_version: math/0609399v1 · doi: 10.48550/arxiv.math/0609399 · pith_short_12: M7XWPUFVKRKI · pith_short_16: M7XWPUFVKRKISOO7 · pith_short_8: M7XWPUFV

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/M7XWPUFVKRKISOO726SV5QGXWW \
  | 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: 67ef67d0b554548939dfd7a55ec0d7b58d9cf63a15b47680520b0ea25adfe185

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b1041282de03f931492477f907e0895015042877538f10b0b813e3bebe28d5a",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "",
    "primary_cat": "math.DS",
    "submitted_at": "2006-09-14T12:54:05Z",
    "title_canon_sha256": "c29c026236e785c6bd57c3a6af248cf3b5a48b7e09edacd4fcbbe47a60a53249"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0609399",
    "kind": "arxiv",
    "version": 1
  }
}