Pith Number

pith:IMDEXNKN

pith:2017:IMDEXNKN3N6FXKL3HJGDLB2Q5X

not attested not anchored not stored refs pending

Cusp shape and tunnel number

Jessica S. Purcell, Vinh Dang

arxiv:1711.03693 v2 · 2017-11-10 · 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{IMDEXNKN3N6FXKL3HJGDLB2Q5X}

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	2026-05-18T00:09:52.865774Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

43064bb54ddb7c5ba97b3a4c358750edc857ec8315502322e8f98b752c2c792f

Aliases

arxiv: 1711.03693 · arxiv_version: 1711.03693v2 · doi: 10.48550/arxiv.1711.03693 · pith_short_12: IMDEXNKN3N6F · pith_short_16: IMDEXNKN3N6FXKL3 · pith_short_8: IMDEXNKN

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/IMDEXNKN3N6FXKL3HJGDLB2Q5X \
  | 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: 43064bb54ddb7c5ba97b3a4c358750edc857ec8315502322e8f98b752c2c792f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f09a89e4876eaac054622128d407e9932aa85a4974679f0e140b5fa77059ef2e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-11-10T04:54:02Z",
    "title_canon_sha256": "eccf1b204b6df9665f6853e34fee64914dec8031461095388fe292b895ef507a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1711.03693",
    "kind": "arxiv",
    "version": 2
  }
}