Pith Number

pith:DTMBU5SY

pith:2010:DTMBU5SYLBFCVHRFJORJSIPXGT

not attested not anchored not stored refs pending

Volume bounds for generalized twisted torus links

Abhijit Champanerkar, David Futer, Ilya Kofman, Jessica S. Purcell, Walter Neumann

arxiv:1007.2932 v5 · 2010-07-17 · 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{DTMBU5SYLBFCVHRFJORJSIPXGT}

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	2026-05-18T02:51:42.731298Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1cd81a7658584a2a9e254ba29921f734d347ebb5746a24d74d5f395fce342e81

Aliases

arxiv: 1007.2932 · arxiv_version: 1007.2932v5 · doi: 10.48550/arxiv.1007.2932 · pith_short_12: DTMBU5SYLBFC · pith_short_16: DTMBU5SYLBFCVHRF · pith_short_8: DTMBU5SY

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/DTMBU5SYLBFCVHRFJORJSIPXGT \
  | 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: 1cd81a7658584a2a9e254ba29921f734d347ebb5746a24d74d5f395fce342e81

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0aa55fb615345c9cdf11985e716f4df293ace72a3712bac5c0f72706b6ab1b9c",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2010-07-17T14:43:00Z",
    "title_canon_sha256": "5b98d1f4ef548443a3df1fb042b2ee047c3e6f49ca5faad81d1cb323f23c525d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1007.2932",
    "kind": "arxiv",
    "version": 5
  }
}