Pith Number

pith:7H7HNFKQ

pith:2017:7H7HNFKQKMB7J6FMRI55ZNOF2L

not attested not anchored not stored refs pending

Comparing 4-Manifolds in the Pants Complex via Trisections

Gabriel Islambouli

arxiv:1707.07108 v1 · 2017-07-22 · 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{7H7HNFKQKMB7J6FMRI55ZNOF2L}

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	2026-05-18T00:18:53.557661Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f9fe7695505303f4f8ac8a3bdcb5c5d2e2a67cf26410e2eaef2d5b9dcaf824d7

Aliases

arxiv: 1707.07108 · arxiv_version: 1707.07108v1 · doi: 10.48550/arxiv.1707.07108 · pith_short_12: 7H7HNFKQKMB7 · pith_short_16: 7H7HNFKQKMB7J6FM · pith_short_8: 7H7HNFKQ

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/7H7HNFKQKMB7J6FMRI55ZNOF2L \
  | 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: f9fe7695505303f4f8ac8a3bdcb5c5d2e2a67cf26410e2eaef2d5b9dcaf824d7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e8c1884ec2c27ba0a0705edd24d9bef872829d4d091f30dbea65ccd7f016f2f8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-07-22T05:19:27Z",
    "title_canon_sha256": "68ea631b19754bbb25c632b38f9c33ad265a886590c2c34e1b99244e1d3f4992"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.07108",
    "kind": "arxiv",
    "version": 1
  }
}