Pith Number

pith:SN3A7CYU

pith:2014:SN3A7CYUOPZ6IIDZ2NSOXKSWH3

not attested not anchored not stored refs pending

Volume and rigidity of hyperbolic polyhedral $3$-manifolds

Feng Luo, Tian Yang

arxiv:1404.5365 v2 · 2014-04-22 · 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{SN3A7CYUOPZ6IIDZ2NSOXKSWH3}

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.

Cited by

1 paper in Pith

Generalized Minkowski Theorem for Tetrahedra in ${\rm dS}^3$ and ${\rm AdS}^3$

Receipt and verification

First computed	2026-05-18T02:53:06.898476Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

93760f8b1473f3e42079d364ebaa563ef3ed505e2c0e1953fbaebea900e2c8fd

Aliases

arxiv: 1404.5365 · arxiv_version: 1404.5365v2 · doi: 10.48550/arxiv.1404.5365 · pith_short_12: SN3A7CYUOPZ6 · pith_short_16: SN3A7CYUOPZ6IIDZ · pith_short_8: SN3A7CYU

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/SN3A7CYUOPZ6IIDZ2NSOXKSWH3 \
  | 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: 93760f8b1473f3e42079d364ebaa563ef3ed505e2c0e1953fbaebea900e2c8fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f1f4aeeb4430be24a892be7444eae7c664a07179645bc2bfb2fedf7bf92c7d42",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2014-04-22T01:31:24Z",
    "title_canon_sha256": "087b72d6a5315d26378f6eeae8b5cefcc3b850e3fb87467a9e4c49a9a84f03c2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1404.5365",
    "kind": "arxiv",
    "version": 2
  }
}