Pith Number

pith:ECHRGWGH

pith:2013:ECHRGWGHAQXZ3L3DQBQ7646ELB

not attested not anchored not stored refs pending

Lipschitz connectivity and filling invariants in solvable groups and buildings

Robert Young

arxiv:1303.1162 v2 · 2013-03-05 · 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{ECHRGWGHAQXZ3L3DQBQ7646ELB}

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	2026-05-18T02:38:17.310224Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

208f1358c7042f9daf638061ff73c4585c95fb85338e3d7b055126c59a1e3bb5

Aliases

arxiv: 1303.1162 · arxiv_version: 1303.1162v2 · doi: 10.48550/arxiv.1303.1162 · pith_short_12: ECHRGWGHAQXZ · pith_short_16: ECHRGWGHAQXZ3L3D · pith_short_8: ECHRGWGH

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/ECHRGWGHAQXZ3L3DQBQ7646ELB \
  | 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: 208f1358c7042f9daf638061ff73c4585c95fb85338e3d7b055126c59a1e3bb5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "eeaf5aa744de1aa8c9cb37be64a5fc40efe508501c884c8fefc651153d53b446",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2013-03-05T20:21:04Z",
    "title_canon_sha256": "a11229d6cdf015d612f9df48b52ba33103604a647d7c9827394baf4ae493e36d"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1303.1162",
    "kind": "arxiv",
    "version": 2
  }
}