Pith Number

pith:ZJFWUJ3P

pith:2011:ZJFWUJ3PPMA77DQFXXVPTZOUTX

not attested not anchored not stored refs pending

Illumination problems on translation surfaces with planar infinities

Nikolay Dimitrov

arxiv:1105.2972 v1 · 2011-05-15 · math.MG · cs.CG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ZJFWUJ3PPMA77DQFXXVPTZOUTX}

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	2026-05-18T04:22:01.657868Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ca4b6a276f7b01ff8e05bdeaf9e5d49dc4e357d68d409aeed92fee8daaf027cf

Aliases

arxiv: 1105.2972 · arxiv_version: 1105.2972v1 · doi: 10.48550/arxiv.1105.2972 · pith_short_12: ZJFWUJ3PPMA7 · pith_short_16: ZJFWUJ3PPMA77DQF · pith_short_8: ZJFWUJ3P

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/ZJFWUJ3PPMA77DQFXXVPTZOUTX \
  | 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: ca4b6a276f7b01ff8e05bdeaf9e5d49dc4e357d68d409aeed92fee8daaf027cf

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "82368cd5cf7fd497611209d92fc0f159110e4efa4aa3357af70a7a96dfe25ab6",
    "cross_cats_sorted": [
      "cs.CG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-05-15T21:54:20Z",
    "title_canon_sha256": "3b3bf1fbaa078c183418ae0ab676fd5dd1afff0133d4f6bd5cd7519b2f776810"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1105.2972",
    "kind": "arxiv",
    "version": 1
  }
}