Pith Number

pith:ZT7P5U6V

pith:2017:ZT7P5U6V5WGKJOQNCAAZ2RFB3O

not attested not anchored not stored refs pending

Profinite detection of 3-manifold decompositions

Henry Wilton, Pavel Zalesskii

arxiv:1703.03701 v3 · 2017-03-10 · math.GR · 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{ZT7P5U6V5WGKJOQNCAAZ2RFB3O}

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	2026-05-17T23:53:12.830021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ccfefed3d5ed8ca4ba0d10019d44a1db91014226d72931c2eeb497e3b902b7c7

Aliases

arxiv: 1703.03701 · arxiv_version: 1703.03701v3 · doi: 10.48550/arxiv.1703.03701 · pith_short_12: ZT7P5U6V5WGK · pith_short_16: ZT7P5U6V5WGKJOQN · pith_short_8: ZT7P5U6V

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/ZT7P5U6V5WGKJOQNCAAZ2RFB3O \
  | 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: ccfefed3d5ed8ca4ba0d10019d44a1db91014226d72931c2eeb497e3b902b7c7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "abf1e0c2cfab69e9cd96c8d0b0009c864b69ea7c223f0561db153ce35ab86303",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2017-03-10T14:34:15Z",
    "title_canon_sha256": "7f5e32c1f79a9f2c3d8e650167e3d6ebaeba3288a606173e9ffe1ea145404b95"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.03701",
    "kind": "arxiv",
    "version": 3
  }
}