Pith Number

pith:BA4XZP2K

pith:2019:BA4XZP2KTVC62WEKT2TL3Q6H22

not attested not anchored not stored refs pending

Stabilization distance between surfaces

Allison N. Miller, Mark Powell

arxiv:1908.06701 v3 · 2019-08-19 · 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{BA4XZP2KTVC62WEKT2TL3Q6H22}

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	2026-07-05T01:22:14.398335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

08397cbf4a9d45ed588a9ea6bdc3c7d6a8103b96cd647edf411e87652b6a7286

Aliases

arxiv: 1908.06701 · arxiv_version: 1908.06701v3 · doi: 10.48550/arxiv.1908.06701 · pith_short_12: BA4XZP2KTVC6 · pith_short_16: BA4XZP2KTVC62WEK · pith_short_8: BA4XZP2K

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/BA4XZP2KTVC62WEKT2TL3Q6H22 \
  | 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: 08397cbf4a9d45ed588a9ea6bdc3c7d6a8103b96cd647edf411e87652b6a7286

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "78028a793ed810b4ec02d5f5a8b8c439ad52a1ceb483037d9e711e69001cfd8c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2019-08-19T11:20:52Z",
    "title_canon_sha256": "4e682d2c65bcaf27b3d3ee54d9ff98d0c9a7157948c3d162c4767f1c6062dd3a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1908.06701",
    "kind": "arxiv",
    "version": 3
  }
}