Pith Number

pith:AEY2BUDZ

pith:2019:AEY2BUDZ37WA7YT3FIAYYZM6NO

not attested not anchored not stored refs pending

Characterizing injectivity of classes of maps via classes of matrices

Elisenda Feliu, Georg Regensburger, Stefan M\"uller

arxiv:1901.11272 v1 · 2019-01-31 · math.AG · math.CA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{AEY2BUDZ37WA7YT3FIAYYZM6NO}

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	2026-05-17T23:55:02.312125Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0131a0d079dfec0fe27b2a018c659e6b9d7a085cd43889724d6306e0e8ac1b87

Aliases

arxiv: 1901.11272 · arxiv_version: 1901.11272v1 · doi: 10.48550/arxiv.1901.11272 · pith_short_12: AEY2BUDZ37WA · pith_short_16: AEY2BUDZ37WA7YT3 · pith_short_8: AEY2BUDZ

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/AEY2BUDZ37WA7YT3FIAYYZM6NO \
  | 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: 0131a0d079dfec0fe27b2a018c659e6b9d7a085cd43889724d6306e0e8ac1b87

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "9aa113cdeb6f9f61f0a05b7e17930b02735ad5eadf9ae291dd0cb9356dcf44d3",
    "cross_cats_sorted": [
      "math.CA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2019-01-31T09:06:43Z",
    "title_canon_sha256": "054889c7621c3aeb885ac17afb5355888772e2c1d30924b726d24ebd04ece0a2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1901.11272",
    "kind": "arxiv",
    "version": 1
  }
}