Pith Number

pith:KNTVGRK2

pith:2011:KNTVGRK2OG3MHQY7M3OHBPYRV4

not attested not anchored not stored refs pending

Ambiguous representations as fuzzy relations between sets

Du\v{s}an Repov\v{s}, Oleh Nykyforchyn

arxiv:1108.1069 v2 · 2011-08-04 · math.CT · math.GN

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KNTVGRK2OG3MHQY7M3OHBPYRV4}

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	2026-05-18T04:16:11.417667Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

536753455a71b6c3c31f66dc70bf11af3c8b97b7fd278119d3024c36e8f3210b

Aliases

arxiv: 1108.1069 · arxiv_version: 1108.1069v2 · doi: 10.48550/arxiv.1108.1069 · pith_short_12: KNTVGRK2OG3M · pith_short_16: KNTVGRK2OG3MHQY7 · pith_short_8: KNTVGRK2

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/KNTVGRK2OG3MHQY7M3OHBPYRV4 \
  | 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: 536753455a71b6c3c31f66dc70bf11af3c8b97b7fd278119d3024c36e8f3210b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ffbd2123b403c4489d1e28b625c722326eb9d23bd31a47f84d4f3a4e067f6dea",
    "cross_cats_sorted": [
      "math.GN"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CT",
    "submitted_at": "2011-08-04T12:38:38Z",
    "title_canon_sha256": "d524865a4d18fcb3ef575b7882e2a3809aa89349daf3f451a9659031e46fab27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1108.1069",
    "kind": "arxiv",
    "version": 2
  }
}