Pith Number

pith:F637GLKN

pith:2014:F637GLKNCT6AYT3HCMZYYZ23K6

not attested not anchored not stored refs pending

Algorithmic constructions of relative train track maps and CTs

Mark Feighn, Michael Handel

arxiv:1411.6302 v4 · 2014-11-23 · 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{F637GLKNCT6AYT3HCMZYYZ23K6}

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	2026-05-18T00:43:03.354454Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2fb7f32d4d14fc0c4f6713338c675b5797e6ad58f76780728c7716719f4b8924

Aliases

arxiv: 1411.6302 · arxiv_version: 1411.6302v4 · doi: 10.48550/arxiv.1411.6302 · pith_short_12: F637GLKNCT6A · pith_short_16: F637GLKNCT6AYT3H · pith_short_8: F637GLKN

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/F637GLKNCT6AYT3HCMZYYZ23K6 \
  | 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: 2fb7f32d4d14fc0c4f6713338c675b5797e6ad58f76780728c7716719f4b8924

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d633646790f099cafe8063ae79f1a34a5175dc347803fec97442e39de7773a03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GR",
    "submitted_at": "2014-11-23T21:38:53Z",
    "title_canon_sha256": "596d04f5bc3b6ee06cf0579240a415b5e55a4813e824de8cba0ce83c5befcf03"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1411.6302",
    "kind": "arxiv",
    "version": 4
  }
}