Pith Number

pith:VW6MHF7X

pith:2001:VW6MHF7XKEAADH6YLWXJEUHD7H

not attested not anchored not stored refs pending

A characterization of shortest geodesics on surfaces

Max Neumann-Coto

arxiv:math/0106200 v1 · 2001-06-24 · math.GT · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{VW6MHF7XKEAADH6YLWXJEUHD7H}

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	2026-05-18T02:41:33.271787Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

adbcc397f75100019fd85dae9250e3f9fda43438966970b5c152fa07c69d20d1

Aliases

arxiv: math/0106200 · arxiv_version: math/0106200v1 · doi: 10.48550/arxiv.math/0106200 · pith_short_12: VW6MHF7XKEAA · pith_short_16: VW6MHF7XKEAADH6Y · pith_short_8: VW6MHF7X

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/VW6MHF7XKEAADH6YLWXJEUHD7H \
  | 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: adbcc397f75100019fd85dae9250e3f9fda43438966970b5c152fa07c69d20d1

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "05ba57554f61cd0bd2bbc0b595f057eb1c3288a2a93d0f98f17556b306b5dfc2",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "",
    "primary_cat": "math.GT",
    "submitted_at": "2001-06-24T14:09:30Z",
    "title_canon_sha256": "a227a60577d4a1d27f1624d912b5a9224d128de4191d36e4f5b432346a2ad3b0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0106200",
    "kind": "arxiv",
    "version": 1
  }
}