Pith Number

pith:S4TGA3DU

pith:2009:S4TGA3DUVBFZNPLMND62OPHTT5

not attested not anchored not stored refs pending

On \mu-Compatible Metrics and Measurable Sensitivity

Amos Lubin, Cesar E. Silva, Ilya Grigoriev, Marius Catalin Iordan, Nathaniel Ince

arxiv:0910.1958 v2 · 2009-10-10 · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{S4TGA3DUVBFZNPLMND62OPHTT5}

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	2026-05-18T03:48:35.745562Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9726606c74a84b96bd6c68fda73cf39f5c3ff1d56dffdd3e5730cfce199bcf68

Aliases

arxiv: 0910.1958 · arxiv_version: 0910.1958v2 · doi: 10.48550/arxiv.0910.1958 · pith_short_12: S4TGA3DUVBFZ · pith_short_16: S4TGA3DUVBFZNPLM · pith_short_8: S4TGA3DU

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/S4TGA3DUVBFZNPLMND62OPHTT5 \
  | 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: 9726606c74a84b96bd6c68fda73cf39f5c3ff1d56dffdd3e5730cfce199bcf68

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "d98d8608bd769350c9059b4e07098e53338682b7af1ef12ce6e7e9330d1425b8",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2009-10-10T23:41:30Z",
    "title_canon_sha256": "213d336ea6369beb4792088137b2c7357068010c4df46ee6facd09f977a17c46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0910.1958",
    "kind": "arxiv",
    "version": 2
  }
}