Pith Number

pith:WNW7QISZ

pith:2017:WNW7QISZ2BID62HMBHMTDCVW44

not attested not anchored not stored refs pending

Compactifications of manifolds with boundary

Craig R. Guilbault, Shijie Gu

arxiv:1712.05995 v2 · 2017-12-16 · math.GT · math.GR

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNW7QISZ2BID62HMBHMTDCVW44}

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	2026-05-18T00:01:38.787144Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b36df82259d0503f68ec09d9318ab6e731705e931acd0ec373c6ab3fb9872f17

Aliases

arxiv: 1712.05995 · arxiv_version: 1712.05995v2 · doi: 10.48550/arxiv.1712.05995 · pith_short_12: WNW7QISZ2BID · pith_short_16: WNW7QISZ2BID62HM · pith_short_8: WNW7QISZ

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/WNW7QISZ2BID62HMBHMTDCVW44 \
  | 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: b36df82259d0503f68ec09d9318ab6e731705e931acd0ec373c6ab3fb9872f17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ce9ff5a0948cc9c955b3dd232242203b08d477c031fd30c3b42ba3cd9aa40504",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-12-16T17:47:35Z",
    "title_canon_sha256": "98e64b51a1ab0a81c72963fd0086b0fc9ca0cd1d21dac793f979b2e6d1c06b46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1712.05995",
    "kind": "arxiv",
    "version": 2
  }
}