Pith Number

pith:4PRXMB3U

pith:2012:4PRXMB3UTXIE5YI4JV4IAB3M3C

not attested not anchored not stored refs pending

Taut sutured manifolds and twisted homology

Stefan Friedl, Taehee Kim

arxiv:1209.0254 v2 · 2012-09-03 · 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{4PRXMB3UTXIE5YI4JV4IAB3M3C}

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	2026-05-18T03:46:16.301086Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e3e37607749dd04ee11c4d7880076cd8ae029c991c00e479cbe58723e507cbaf

Aliases

arxiv: 1209.0254 · arxiv_version: 1209.0254v2 · doi: 10.48550/arxiv.1209.0254 · pith_short_12: 4PRXMB3UTXIE · pith_short_16: 4PRXMB3UTXIE5YI4 · pith_short_8: 4PRXMB3U

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/4PRXMB3UTXIE5YI4JV4IAB3M3C \
  | 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: e3e37607749dd04ee11c4d7880076cd8ae029c991c00e479cbe58723e507cbaf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "196e2762b749936ef64d6986dea0e73ae41a93b40cbf250598a76c4f863f2aa4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2012-09-03T06:44:49Z",
    "title_canon_sha256": "f68938607860f7101c55129a153572f2b0d34bd47c0f10e1c2fb1d3a08c956f5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.0254",
    "kind": "arxiv",
    "version": 2
  }
}