Pith Number

pith:PRJ3WIXF

pith:2012:PRJ3WIXFM24Q22KC4BBDVM7BP2

not attested not anchored not stored refs pending

Weak Linear Mappings -- A Survey

Hans Havlicek

arxiv:1210.2053 v1 · 2012-10-07 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PRJ3WIXFM24Q22KC4BBDVM7BP2}

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	2026-05-18T03:43:51.248528Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7c53bb22e566b90d6942e0423ab3e17eaa10847c6c5b0f9591fa8e4dde235732

Aliases

arxiv: 1210.2053 · arxiv_version: 1210.2053v1 · doi: 10.48550/arxiv.1210.2053 · pith_short_12: PRJ3WIXFM24Q · pith_short_16: PRJ3WIXFM24Q22KC · pith_short_8: PRJ3WIXF

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/PRJ3WIXFM24Q22KC4BBDVM7BP2 \
  | 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: 7c53bb22e566b90d6942e0423ab3e17eaa10847c6c5b0f9591fa8e4dde235732

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "06903284a64430fcc7c6fbdd0bdfaad2d41c567c907c54995372311c5fcfda6e",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2012-10-07T13:24:28Z",
    "title_canon_sha256": "3e2a4113604ce01c3adc3432507a4156e5e02adcdb109509285d96e6d06a96fc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1210.2053",
    "kind": "arxiv",
    "version": 1
  }
}