Pith Number

pith:LXRMBBE7

pith:2017:LXRMBBE7PRITQYDZMWS6IDQ2BD

not attested not anchored not stored refs pending

Ideal hyperbolic polyhedra and discrete uniformization

Boris Springborn

arxiv:1707.06848 v4 · 2017-07-21 · math.MG · 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{LXRMBBE7PRITQYDZMWS6IDQ2BD}

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	2026-07-05T09:57:17.092159Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

5de2c0849f7c5138607965a5e40e1a08f048f5d8149b0226b4f4fbcc9035880e

Aliases

arxiv: 1707.06848 · arxiv_version: 1707.06848v4 · doi: 10.48550/arxiv.1707.06848 · pith_short_12: LXRMBBE7PRIT · pith_short_16: LXRMBBE7PRITQYDZ · pith_short_8: LXRMBBE7

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/LXRMBBE7PRITQYDZMWS6IDQ2BD \
  | 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: 5de2c0849f7c5138607965a5e40e1a08f048f5d8149b0226b4f4fbcc9035880e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "0e4f23514e9e2696684a9b08a3f92e1664cf944867a765ab940b322bb1235474",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2017-07-21T11:21:02Z",
    "title_canon_sha256": "defacc9a60cd02652cb416b965fef318a8375b23dab47cb9086e61e01d6afbba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.06848",
    "kind": "arxiv",
    "version": 4
  }
}