Pith Number

pith:USPHUM3K

pith:2011:USPHUM3K5WD5C2XZP6RJAA6PPZ

not attested not anchored not stored refs pending

On p-Compact mappings and p-approximation

Pablo Turco, Silvia Lassalle

arxiv:1107.1670 v3 · 2011-07-08 · math.FA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{USPHUM3K5WD5C2XZP6RJAA6PPZ}

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	2026-05-18T03:46:47.741971Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a49e7a336aed87d16af97fa29003cf7e72b31eea9626c635ee3b320982950db5

Aliases

arxiv: 1107.1670 · arxiv_version: 1107.1670v3 · doi: 10.48550/arxiv.1107.1670 · pith_short_12: USPHUM3K5WD5 · pith_short_16: USPHUM3K5WD5C2XZ · pith_short_8: USPHUM3K

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/USPHUM3K5WD5C2XZP6RJAA6PPZ \
  | 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: a49e7a336aed87d16af97fa29003cf7e72b31eea9626c635ee3b320982950db5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8ac2fe11ac059fe0bcfd9c7c9ead163aad50fde5900b48b2e21a5657b7c322b5",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2011-07-08T16:26:34Z",
    "title_canon_sha256": "c8170f40e27763e891a18182aa17a1004048fd5b9ec5975fa8c20a80589f6a2e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1107.1670",
    "kind": "arxiv",
    "version": 3
  }
}