Pith Number

pith:4A6SR7BB

pith:2012:4A6SR7BBD3DTZ3PI4DST57TIUM

not attested not anchored not stored refs pending

Viscosity iteration in CAT(k) spaces

Bozena Piatek

arxiv:1207.3949 v1 · 2012-07-17 · 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{4A6SR7BBD3DTZ3PI4DST57TIUM}

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	2026-05-18T03:50:49.388682Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e03d28fc211ec73cede8e0e53efe68a33575c38490d52f8d729535887e59f20b

Aliases

arxiv: 1207.3949 · arxiv_version: 1207.3949v1 · doi: 10.48550/arxiv.1207.3949 · pith_short_12: 4A6SR7BBD3DT · pith_short_16: 4A6SR7BBD3DTZ3PI · pith_short_8: 4A6SR7BB

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/4A6SR7BBD3DTZ3PI4DST57TIUM \
  | 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: e03d28fc211ec73cede8e0e53efe68a33575c38490d52f8d729535887e59f20b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b23a804dbe38a5cd91b56627475c5e33368a8f94cafd1bcbc131e8c8a3516dca",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.MG",
    "submitted_at": "2012-07-17T11:21:47Z",
    "title_canon_sha256": "9baffcdafd3af985d26d6c860e75a592cfdf5c15a5dc8217b004ce297762aa5a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1207.3949",
    "kind": "arxiv",
    "version": 1
  }
}