Pith Number

pith:6RJF7PDP

pith:2015:6RJF7PDPLENUYMLBFM2UMPMGIR

not attested not anchored not stored refs pending

Volumes of double twist knot cone-manifolds

Anh T. Tran

arxiv:1512.08165 v1 · 2015-12-27 · 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{6RJF7PDPLENUYMLBFM2UMPMGIR}

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	2026-05-18T01:23:43.047962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f4525fbc6f591b4c31612b35463d86444ba871b80348a00431ec0a8a75354616

Aliases

arxiv: 1512.08165 · arxiv_version: 1512.08165v1 · doi: 10.48550/arxiv.1512.08165 · pith_short_12: 6RJF7PDPLENU · pith_short_16: 6RJF7PDPLENUYMLB · pith_short_8: 6RJF7PDP

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/6RJF7PDPLENUYMLBFM2UMPMGIR \
  | 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: f4525fbc6f591b4c31612b35463d86444ba871b80348a00431ec0a8a75354616

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1327faa127058025477427982959d3e8a2f078993d860a4557b4dcf9ba9e3ca3",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2015-12-27T02:24:07Z",
    "title_canon_sha256": "f4ed2d00262883b6895544ef2a266eb46c09cbf45780c940df7cd4684628ad5c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.08165",
    "kind": "arxiv",
    "version": 1
  }
}