Pith Number

pith:RLUDBVPX

pith:2012:RLUDBVPXKU6PC34E4UV2G7RE4N

not attested not anchored not stored refs pending

Pulling Apart 2-spheres in 4-manifolds

Peter Teichner, Rob Schneiderman

arxiv:1210.5534 v2 · 2012-10-19 · 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{RLUDBVPXKU6PC34E4UV2G7RE4N}

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	2026-05-18T02:29:17.707056Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ae830d5f7553cf16f84e52ba37e24e37cfc2120ffd80583af64489a7d604ae9

Aliases

arxiv: 1210.5534 · arxiv_version: 1210.5534v2 · doi: 10.48550/arxiv.1210.5534 · pith_short_12: RLUDBVPXKU6P · pith_short_16: RLUDBVPXKU6PC34E · pith_short_8: RLUDBVPX

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/RLUDBVPXKU6PC34E4UV2G7RE4N \
  | 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: 8ae830d5f7553cf16f84e52ba37e24e37cfc2120ffd80583af64489a7d604ae9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e42a56a0f94848b218647d87d172a5d9beda9860528825b68d8af78d0a131d6b",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-10-19T20:47:30Z",
    "title_canon_sha256": "80d73972386307aeae174c7a128b7fea7625fb5944595425429fe41a896c54ab"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.5534",
    "kind": "arxiv",
    "version": 2
  }
}