Pith Number

pith:O374H23S

pith:2016:O374H23S2GESFWXKML5GDHVIMA

not attested not anchored not stored refs pending

Profinite rigidity and surface bundles over the circle

Alan W. Reid, Henry Wilton, Martin R. Bridson

arxiv:1610.02410 v2 · 2016-10-07 · 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{O374H23S2GESFWXKML5GDHVIMA}

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	2026-05-18T00:38:31.089335Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

76ffc3eb72d18922daea62fa619ea8601853059626a9b316d46105949bf63db6

Aliases

arxiv: 1610.02410 · arxiv_version: 1610.02410v2 · doi: 10.48550/arxiv.1610.02410 · pith_short_12: O374H23S2GES · pith_short_16: O374H23S2GESFWXK · pith_short_8: O374H23S

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/O374H23S2GESFWXKML5GDHVIMA \
  | 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: 76ffc3eb72d18922daea62fa619ea8601853059626a9b316d46105949bf63db6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5547abfa0ec2db3817800d92016834e34ce6738aa1e2aa804e370dad7e2eb56e",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2016-10-07T20:01:35Z",
    "title_canon_sha256": "6423fd129f2b9eb95c87e2261def8eb18fcf63f89c8740dfeda148727c522684"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1610.02410",
    "kind": "arxiv",
    "version": 2
  }
}