Pith Number

pith:SFBZJ7J5

pith:2012:SFBZJ7J5OM72SUB7M3UVKLY5OW

not attested not anchored not stored refs pending

Cannon-Thurston fibers for iwip automorphisms of $F_N$

Ilya Kapovich, Martin Lustig

arxiv:1207.3494 v3 · 2012-07-15 · 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{SFBZJ7J5OM72SUB7M3UVKLY5OW}

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	2026-05-18T02:40:04.128667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

914394fd3d733fa9503f66e9552f1d7595b5faefd9a68c40bfc63e934d2db324

Aliases

arxiv: 1207.3494 · arxiv_version: 1207.3494v3 · doi: 10.48550/arxiv.1207.3494 · pith_short_12: SFBZJ7J5OM72 · pith_short_16: SFBZJ7J5OM72SUB7 · pith_short_8: SFBZJ7J5

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/SFBZJ7J5OM72SUB7M3UVKLY5OW \
  | 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: 914394fd3d733fa9503f66e9552f1d7595b5faefd9a68c40bfc63e934d2db324

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5b179582d50fa94d7120a4706238600ec761e8e083b5816b8dd3fa0e46826bf4",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2012-07-15T11:29:32Z",
    "title_canon_sha256": "52cdf9ee0081fb89300d932a0f04b0bbadc4581e631b1db906da666dd5b09b91"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3494",
    "kind": "arxiv",
    "version": 3
  }
}