Pith Number

pith:N4LBNJBM

pith:2012:N4LBNJBMXJZ3FJ5IKY5N4ZUYQ7

not attested not anchored not stored refs pending

Almost normal surfaces with boundary

David Bachman, Eric Sedgwick, Ryan Derby-Talbot

arxiv:1203.4632 v2 · 2012-03-21 · 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{N4LBNJBMXJZ3FJ5IKY5N4ZUYQ7}

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	2026-05-18T03:33:50.102344Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

6f1616a42cba73b2a7a8563ade669887e6e7083d6cc74e199001cecfa0686394

Aliases

arxiv: 1203.4632 · arxiv_version: 1203.4632v2 · doi: 10.48550/arxiv.1203.4632 · pith_short_12: N4LBNJBMXJZ3 · pith_short_16: N4LBNJBMXJZ3FJ5I · pith_short_8: N4LBNJBM

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/N4LBNJBMXJZ3FJ5IKY5N4ZUYQ7 \
  | 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: 6f1616a42cba73b2a7a8563ade669887e6e7083d6cc74e199001cecfa0686394

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "33aa7db0efc93d79562ce84dbc8872c4fb97b1d40bcfa58fae44665f55423812",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-03-21T01:24:18Z",
    "title_canon_sha256": "a65b91cf8d143948380127fe03536cc83caf427d47f29c424b6206d63a2484ca"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.4632",
    "kind": "arxiv",
    "version": 2
  }
}