Pith Number

pith:GNABSTF7

pith:2016:GNABSTF7ZS4TVLHERAAPV67J7P

not attested not anchored not stored refs pending

Finite Dehn surgeries on knots in $S^3$

Xingru Zhang, Yi Ni

arxiv:1607.05685 v1 · 2016-07-19 · 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{GNABSTF7ZS4TVLHERAAPV67J7P}

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	2026-05-18T00:20:59.298952Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3340194cbfccb93aace48800fafbe9fbee5b34aa20bfcbb2adc31ed4eb7f5391

Aliases

arxiv: 1607.05685 · arxiv_version: 1607.05685v1 · doi: 10.48550/arxiv.1607.05685 · pith_short_12: GNABSTF7ZS4T · pith_short_16: GNABSTF7ZS4TVLHE · pith_short_8: GNABSTF7

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/GNABSTF7ZS4TVLHERAAPV67J7P \
  | 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: 3340194cbfccb93aace48800fafbe9fbee5b34aa20bfcbb2adc31ed4eb7f5391

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fa022e20225442a3eb8809d0053e9f77a8b2bdbdceb0b7820cb70d78f6ec96ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-07-19T18:09:23Z",
    "title_canon_sha256": "f61bf62c8281f876406468ebe84027a3ece046aa77abf7720096a1baeaf17e99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1607.05685",
    "kind": "arxiv",
    "version": 1
  }
}