Pith Number

pith:3VCBIMTX

pith:2014:3VCBIMTXYCQ27EAAGJFF4A5BUV

not attested not anchored not stored refs pending

Who's Afraid of the Hill Boundary?

Richard Montgomery

arxiv:1407.7163 v2 · 2014-07-26 · math.DS · 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{3VCBIMTXYCQ27EAAGJFF4A5BUV}

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	2026-05-18T02:37:51.592675Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dd44143277c0a1af9000324a5e03a1a540c43bb40cf411ace2923a525b0d8950

Aliases

arxiv: 1407.7163 · arxiv_version: 1407.7163v2 · doi: 10.48550/arxiv.1407.7163 · pith_short_12: 3VCBIMTXYCQ2 · pith_short_16: 3VCBIMTXYCQ27EAA · pith_short_8: 3VCBIMTX

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/3VCBIMTXYCQ27EAAGJFF4A5BUV \
  | 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: dd44143277c0a1af9000324a5e03a1a540c43bb40cf411ace2923a525b0d8950

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b8e8ef1419b773a511679e37b6127f961f7275cbd3d3f9109e2452a792f76eb1",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://creativecommons.org/licenses/by-nc-sa/3.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2014-07-26T22:44:07Z",
    "title_canon_sha256": "16308ee513e22a3ba4cad47e2c5ad20be231f6ae94588fe6659d1bb3f40a5271"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.7163",
    "kind": "arxiv",
    "version": 2
  }
}