Pith Number

pith:RUCBKWFL

pith:2014:RUCBKWFL5K2FSLGRFUQY6E2C2H

not attested not anchored not stored refs pending

The membership problem for 3-manifold groups is solvable

Henry Wilton, Stefan Friedl

arxiv:1401.2648 v1 · 2014-01-12 · 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{RUCBKWFL5K2FSLGRFUQY6E2C2H}

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	2026-05-18T01:04:14.961789Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8d041558abeab4592cd12d218f1342d1e5a3c83d8b2fa9aa8610dc8d048a86cc

Aliases

arxiv: 1401.2648 · arxiv_version: 1401.2648v1 · doi: 10.48550/arxiv.1401.2648 · pith_short_12: RUCBKWFL5K2F · pith_short_16: RUCBKWFL5K2FSLGR · pith_short_8: RUCBKWFL

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/RUCBKWFL5K2FSLGRFUQY6E2C2H \
  | 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: 8d041558abeab4592cd12d218f1342d1e5a3c83d8b2fa9aa8610dc8d048a86cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ad0434e5f6fc5c5b29a9ecc68cadc0cf6b1b68d52f21213169581d22e3e1390d",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-01-12T17:42:04Z",
    "title_canon_sha256": "cc9d5783d7993dd1d4771a58a9e6be458ca35219dc681daf064b86b9adadcf0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1401.2648",
    "kind": "arxiv",
    "version": 1
  }
}