Pith Number

pith:FWQGWJE6

pith:2017:FWQGWJE6B2Y6UYBKRGJTHTVMGP

not attested not anchored not stored refs pending

Volumes of hyperbolic three-manifolds associated to modular links

Alex Brandts, Lior Silberman, Tali Pinsky

arxiv:1705.04760 v2 · 2017-05-12 · math.GT · math.NT

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{FWQGWJE6B2Y6UYBKRGJTHTVMGP}

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	2026-05-18T00:44:15.190971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2da06b249e0eb1ea602a899333ceac33ddc68bcf5867086be9e8f572365ed679

Aliases

arxiv: 1705.04760 · arxiv_version: 1705.04760v2 · doi: 10.48550/arxiv.1705.04760 · pith_short_12: FWQGWJE6B2Y6 · pith_short_16: FWQGWJE6B2Y6UYBK · pith_short_8: FWQGWJE6

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/FWQGWJE6B2Y6UYBKRGJTHTVMGP \
  | 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: 2da06b249e0eb1ea602a899333ceac33ddc68bcf5867086be9e8f572365ed679

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71b56d31d2277987055c59e9a67cbebb32ad41d4df62aede2c3af294b7161a16",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2017-05-12T21:43:24Z",
    "title_canon_sha256": "3f96de3fb2a17e8a46c7fdab91bd753b9a21527e789dcca5bb63506cf6f163ce"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1705.04760",
    "kind": "arxiv",
    "version": 2
  }
}