Pith Number

pith:KGSG2B3S

pith:2016:KGSG2B3SJ7RVUH57V2W2E7DC57

not attested not anchored not stored refs pending

Dehn filling and the Thurston norm

Kenneth L. Baker, Scott A. Taylor

arxiv:1608.02443 v1 · 2016-08-08 · 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{KGSG2B3SJ7RVUH57V2W2E7DC57}

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	2026-05-18T01:09:40.212831Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

51a46d07724fe35a1fbfaeada27c62eff1d09259efbded39b1f9ae3c717ea3d2

Aliases

arxiv: 1608.02443 · arxiv_version: 1608.02443v1 · doi: 10.48550/arxiv.1608.02443 · pith_short_12: KGSG2B3SJ7RV · pith_short_16: KGSG2B3SJ7RVUH57 · pith_short_8: KGSG2B3S

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/KGSG2B3SJ7RVUH57V2W2E7DC57 \
  | 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: 51a46d07724fe35a1fbfaeada27c62eff1d09259efbded39b1f9ae3c717ea3d2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f391b5c95816a6be8c1f12ba3e7c22ecc086b0a97e1b39f51b59e47897cd6a80",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-08T14:09:59Z",
    "title_canon_sha256": "c1ab92805f9be0ca78f3a30f25f4c91eaaa74a0834de2dcaf6015d94ef09a34c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02443",
    "kind": "arxiv",
    "version": 1
  }
}