Pith Number

pith:CQH6CFCI

pith:2016:CQH6CFCI7KR5JDFECI5QJOTEN3

not attested not anchored not stored refs pending

The Gromov boundary of the ray graph

Alden Walker, Juliette Bavard

arxiv:1608.04475 v2 · 2016-08-16 · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CQH6CFCI7KR5JDFECI5QJOTEN3}

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	2026-05-18T00:07:12.549863Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

140fe11448faa3d48ca4123b04ba646eea4e0fff39ad661ff0c358fb9e166e69

Aliases

arxiv: 1608.04475 · arxiv_version: 1608.04475v2 · doi: 10.48550/arxiv.1608.04475 · pith_short_12: CQH6CFCI7KR5 · pith_short_16: CQH6CFCI7KR5JDFE · pith_short_8: CQH6CFCI

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/CQH6CFCI7KR5JDFECI5QJOTEN3 \
  | 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: 140fe11448faa3d48ca4123b04ba646eea4e0fff39ad661ff0c358fb9e166e69

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e87a4a01c19065651e2f47fd1c25736b5a365b9d62b7eb37a478081fac565e30",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2016-08-16T04:12:02Z",
    "title_canon_sha256": "ec79bf89856e44fba06942e40232e2a440a3013db3f337f9bfb52152c703718f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.04475",
    "kind": "arxiv",
    "version": 2
  }
}