Pith Number

pith:AM4TT2AX

pith:2015:AM4TT2AXB3ZCU33R3LNQZSTGVV

not attested not anchored not stored refs pending

Curvature corrected estimates for geodesic arc-length

Leo Brewin

arxiv:1512.03461 v1 · 2015-12-10 · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AM4TT2AXB3ZCU33R3LNQZSTGVV}

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	2026-05-18T01:24:32.375898Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

033939e8170ef22a6f71dadb0cca66ad7aba22c8eeac322403985013a50787bc

Aliases

arxiv: 1512.03461 · arxiv_version: 1512.03461v1 · doi: 10.48550/arxiv.1512.03461 · pith_short_12: AM4TT2AXB3ZC · pith_short_16: AM4TT2AXB3ZCU33R · pith_short_8: AM4TT2AX

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/AM4TT2AXB3ZCU33R3LNQZSTGVV \
  | 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: 033939e8170ef22a6f71dadb0cca66ad7aba22c8eeac322403985013a50787bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2e67997c186255ee755b3eb5b371c5d12ac2f2a56df3c14ab4d21fc02a92a4e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-12-10T22:01:48Z",
    "title_canon_sha256": "6667133acf5dbc492a9357acfab0e02252b556d395f29a36e13a9866887c3a36"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.03461",
    "kind": "arxiv",
    "version": 1
  }
}