Pith Number

pith:PJEITXNK

pith:2015:PJEITXNKXOA2G5RM6OEH7D2XDK

not attested not anchored not stored refs pending

On the total curvature of minimizing geodesics on convex surfaces

Anton Petrunin, Nina Lebedeva

arxiv:1511.07911 v3 · 2015-11-24 · math.DG · 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{PJEITXNKXOA2G5RM6OEH7D2XDK}

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	2026-05-17T23:56:56.297579Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7a4889ddaabb81a3762cf3887f8f571aa1c39f3d16518f2c9c1e1794bca63949

Aliases

arxiv: 1511.07911 · arxiv_version: 1511.07911v3 · doi: 10.48550/arxiv.1511.07911 · pith_short_12: PJEITXNKXOA2 · pith_short_16: PJEITXNKXOA2G5RM · pith_short_8: PJEITXNK

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/PJEITXNKXOA2G5RM6OEH7D2XDK \
  | 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: 7a4889ddaabb81a3762cf3887f8f571aa1c39f3d16518f2c9c1e1794bca63949

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ea2024113f6da12fd096835487bdd94c975639fc85da79a2676f1a07dbc3d2a0",
    "cross_cats_sorted": [
      "math.MG"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-11-24T22:54:38Z",
    "title_canon_sha256": "54eb1aa15777d09e66a3473fdc7e0b30cb0796ccf51d0513d88d2478d945eea1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1511.07911",
    "kind": "arxiv",
    "version": 3
  }
}