Pith Number

pith:HAXYHLYJ

pith:2017:HAXYHLYJCQXITOANDIWQZSIWFP

not attested not anchored not stored refs pending

The coarse index class with support

Alexander Engel, Ulrich Bunke

arxiv:1706.06959 v2 · 2017-06-21 · math.DG · math.KT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{HAXYHLYJCQXITOANDIWQZSIWFP}

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

Branched coarse coverings and transfer maps

Receipt and verification

First computed	2026-07-05T11:02:07.636473Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

382f83af09142e89b80d1a2d0cc9162bfedcb54e35828c8a7662bd97a82929fd

Aliases

arxiv: 1706.06959 · arxiv_version: 1706.06959v2 · doi: 10.48550/arxiv.1706.06959 · pith_short_12: HAXYHLYJCQXI · pith_short_16: HAXYHLYJCQXITOAN · pith_short_8: HAXYHLYJ

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/HAXYHLYJCQXITOANDIWQZSIWFP \
  | 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: 382f83af09142e89b80d1a2d0cc9162bfedcb54e35828c8a7662bd97a82929fd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "542ef73e8dfdc7d298175bdac30e7289149e93645a7e792e567c50ae0a67deeb",
    "cross_cats_sorted": [
      "math.KT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2017-06-21T15:33:34Z",
    "title_canon_sha256": "8949c91b242feb620ebb714ccf09691631a2cb11341168c09936e70866538e17"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1706.06959",
    "kind": "arxiv",
    "version": 2
  }
}