Pith Number

pith:PHYG6T6X

pith:2017:PHYG6T6XJEHVJKNKUCO2ZP4XM4

not attested not anchored not stored refs pending

Geometric counting on wavefront real spherical spaces

Bernhard Kr\"otz, Eitan Sayag, Henrik Schlichtkrull

arxiv:1703.10947 v2 · 2017-03-31 · math.RT · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHYG6T6XJEHVJKNKUCO2ZP4XM4}

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	2026-05-18T00:14:57.082526Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79f06f4fd7490f54a9aaa09dacbf97672f5ce73db51580fc0152111ba7d1fab3

Aliases

arxiv: 1703.10947 · arxiv_version: 1703.10947v2 · doi: 10.48550/arxiv.1703.10947 · pith_short_12: PHYG6T6XJEHV · pith_short_16: PHYG6T6XJEHVJKNK · pith_short_8: PHYG6T6X

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/PHYG6T6XJEHVJKNKUCO2ZP4XM4 \
  | 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: 79f06f4fd7490f54a9aaa09dacbf97672f5ce73db51580fc0152111ba7d1fab3

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2abebeadfd023e67480c1d47a5697da4f9a29181f0e34b5b14da0e9367da15f3",
    "cross_cats_sorted": [
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2017-03-31T15:37:20Z",
    "title_canon_sha256": "adbfcacb666a7dc755e1cdf2fb8e780654ed338ac0be14fbc4d04ec28d763542"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1703.10947",
    "kind": "arxiv",
    "version": 2
  }
}