Pith Number

pith:7WUVCH4E

pith:2017:7WUVCH4EEFRTDBICZGPH27UTSX

not attested not anchored not stored refs pending

Aspherical 4-manifolds of odd Euler characteristic

Allan L. Edmonds

arxiv:1710.06345 v1 · 2017-10-17 · 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{7WUVCH4EEFRTDBICZGPH27UTSX}

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	2026-05-18T00:32:37.043877Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

fda9511f842163318502c99e7d7e9395c9e4cd82be7b7454caf6c43110fa6995

Aliases

arxiv: 1710.06345 · arxiv_version: 1710.06345v1 · doi: 10.48550/arxiv.1710.06345 · pith_short_12: 7WUVCH4EEFRT · pith_short_16: 7WUVCH4EEFRTDBIC · pith_short_8: 7WUVCH4E

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/7WUVCH4EEFRTDBICZGPH27UTSX \
  | 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: fda9511f842163318502c99e7d7e9395c9e4cd82be7b7454caf6c43110fa6995

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "52135ae731e242442cf5512382928b4fe9b943c4ab34f8a6e9b268f1eab82451",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-10-17T15:37:11Z",
    "title_canon_sha256": "987da65b8105464342f1ac66526995b0c7314afd5d2851d9aa6cf5d3adad026f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.06345",
    "kind": "arxiv",
    "version": 1
  }
}