Pith Number

pith:UJK7P6NQ

pith:2013:UJK7P6NQXQU6FKYMOF4X45DNFW

not attested not anchored not stored refs pending

Gauge-reversing maps on cones, and Hilbert and Thompson isometries

Cormac Walsh

arxiv:1312.7871 v1 · 2013-12-30 · math.MG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{UJK7P6NQXQU6FKYMOF4X45DNFW}

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	2026-05-18T00:21:00.969549Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a255f7f9b0bc29e2ab0c71797e746d2dbba248e73f757782f569d3c1caa1670e

Aliases

arxiv: 1312.7871 · arxiv_version: 1312.7871v1 · doi: 10.48550/arxiv.1312.7871 · pith_short_12: UJK7P6NQXQU6 · pith_short_16: UJK7P6NQXQU6FKYM · pith_short_8: UJK7P6NQ

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/UJK7P6NQXQU6FKYMOF4X45DNFW \
  | 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: a255f7f9b0bc29e2ab0c71797e746d2dbba248e73f757782f569d3c1caa1670e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d7abecc47850a9422c47d48ee60a00e97c330d61ca4ee746379e30876d9bd8ee",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2013-12-30T20:55:14Z",
    "title_canon_sha256": "db18171ad1ee63cf0d7cbab06c4dff9ecf64aa35a98faa1dc51bb4fe91c8ed69"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1312.7871",
    "kind": "arxiv",
    "version": 1
  }
}