Pith Number

pith:VWGJ7WXL

pith:2016:VWGJ7WXLATCB2YGVFB723M5E2G

not attested not anchored not stored refs pending

Dehn surgery on complicated fibered knots in the 3-sphere

Abigail Thompson

arxiv:1604.04902 v1 · 2016-04-17 · 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{VWGJ7WXLATCB2YGVFB723M5E2G}

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	2026-05-18T01:16:56.384305Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ad8c9fdaeb04c41d60d5287fadb3a4d1858a9434fd52b485d2c3d0678060eecd

Aliases

arxiv: 1604.04902 · arxiv_version: 1604.04902v1 · doi: 10.48550/arxiv.1604.04902 · pith_short_12: VWGJ7WXLATCB · pith_short_16: VWGJ7WXLATCB2YGV · pith_short_8: VWGJ7WXL

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/VWGJ7WXLATCB2YGVFB723M5E2G \
  | 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: ad8c9fdaeb04c41d60d5287fadb3a4d1858a9434fd52b485d2c3d0678060eecd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68c4e29b40b6b725cbb11b6e2becad429507f236ce7799c14bc4f01efcbb7ec0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-04-17T17:53:47Z",
    "title_canon_sha256": "df340324db6744c446b761ffe474e72de0b6344a1ea9f876ad46e915f13013d4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1604.04902",
    "kind": "arxiv",
    "version": 1
  }
}