Pith Number

pith:O6JSAR4Q

pith:2013:O6JSAR4Q6MLBMGQC44WU5WA375

not attested not anchored not stored refs pending

Combinatorics of tight geodesics and stable lengths

Richard C. H. Webb

arxiv:1305.3566 v1 · 2013-05-15 · 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{O6JSAR4Q6MLBMGQC44WU5WA375}

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	2026-05-18T03:25:35.541397Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7793204790f316161a02e72d4ed81bff58cccb3620c631ca5cccc7537dca95de

Aliases

arxiv: 1305.3566 · arxiv_version: 1305.3566v1 · doi: 10.48550/arxiv.1305.3566 · pith_short_12: O6JSAR4Q6MLB · pith_short_16: O6JSAR4Q6MLBMGQC · pith_short_8: O6JSAR4Q

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/O6JSAR4Q6MLBMGQC44WU5WA375 \
  | 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: 7793204790f316161a02e72d4ed81bff58cccb3620c631ca5cccc7537dca95de

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2f63a7edcafedb61301acf78697461b8eb39688892565b1a584dc8a897728cc8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-05-15T17:53:07Z",
    "title_canon_sha256": "0c680ee5776f1595d18aa1c4383fa45ea7f8dcd130235b76fa90260ef2fa10db"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.3566",
    "kind": "arxiv",
    "version": 1
  }
}