Pith Number

pith:UHXBEVXU

pith:2011:UHXBEVXUNPEHH3LQP5M2KYD27U

not attested not anchored not stored refs pending

Bodies invisible from one point

Alexander Plakhov, Vera Roshchina

arxiv:1112.6167 v1 · 2011-12-28 · math.MG · 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{UHXBEVXUNPEHH3LQP5M2KYD27U}

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	2026-05-18T04:05:36.602329Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a1ee1256f46bc873ed707f59a5607afd3f6a3f6a8025fce5e406e0d1ab500deb

Aliases

arxiv: 1112.6167 · arxiv_version: 1112.6167v1 · doi: 10.48550/arxiv.1112.6167 · pith_short_12: UHXBEVXUNPEH · pith_short_16: UHXBEVXUNPEHH3LQ · pith_short_8: UHXBEVXU

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/UHXBEVXUNPEHH3LQP5M2KYD27U \
  | 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: a1ee1256f46bc873ed707f59a5607afd3f6a3f6a8025fce5e406e0d1ab500deb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9a8326e5052b503b09a683a7aacfa32293b07beb75642cd654e97bfd7bdd5787",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2011-12-28T19:03:14Z",
    "title_canon_sha256": "70ae0b4406b7940b5200524672d1d7b9679ec458cdc06ca67dda709a042274f7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1112.6167",
    "kind": "arxiv",
    "version": 1
  }
}