Pith Number

pith:KYLR2F65

pith:2014:KYLR2F65ZIUCGY4COIPPKYGIRD

not attested not anchored not stored refs pending

Injective maps between flip graphs

Hugo Parlier, Javier Aramayona, Thomas Koberda

arxiv:1409.7046 v2 · 2014-09-24 · 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{KYLR2F65ZIUCGY4COIPPKYGIRD}

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	2026-05-18T02:32:38.388558Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

56171d17ddca28236382721ef560c888ef6c968a886568a7e99578aade755e29

Aliases

arxiv: 1409.7046 · arxiv_version: 1409.7046v2 · doi: 10.48550/arxiv.1409.7046 · pith_short_12: KYLR2F65ZIUC · pith_short_16: KYLR2F65ZIUCGY4C · pith_short_8: KYLR2F65

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/KYLR2F65ZIUCGY4COIPPKYGIRD \
  | 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: 56171d17ddca28236382721ef560c888ef6c968a886568a7e99578aade755e29

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3c4025ff98d5f8d223e39adbf76826ef261a3a32ff560bdb86efa2ef1856f798",
    "cross_cats_sorted": [
      "math.GR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-09-24T19:30:30Z",
    "title_canon_sha256": "1c7578c941bde7017acf78ecb23bc42f26a0abcd79162831233ea3ca6bdb1f72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1409.7046",
    "kind": "arxiv",
    "version": 2
  }
}