Pith Number

pith:KRXVZK6I

pith:2017:KRXVZK6IAFQGQTGP6WF6RVWAA4

not attested not anchored not stored refs pending

Finite morphisms and simultaneous reduction of the multiplicity

Ana Bravo, Carlos Abad, Orlando E. Villamayor

arxiv:1710.01805 v2 · 2017-10-04 · math.AG · math.AC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{KRXVZK6IAFQGQTGP6WF6RVWAA4}

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	2026-05-18T00:01:15.306444Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

546f5cabc80160684ccff58be8d6c00716b6dedbc6c2bc73150d005e84aabe35

Aliases

arxiv: 1710.01805 · arxiv_version: 1710.01805v2 · doi: 10.48550/arxiv.1710.01805 · pith_short_12: KRXVZK6IAFQG · pith_short_16: KRXVZK6IAFQGQTGP · pith_short_8: KRXVZK6I

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/KRXVZK6IAFQGQTGP6WF6RVWAA4 \
  | 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: 546f5cabc80160684ccff58be8d6c00716b6dedbc6c2bc73150d005e84aabe35

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "f9b04dd43c136035f7aa0924a0253fa8c8886cdcc5ebc90bede26829da96b7f9",
    "cross_cats_sorted": [
      "math.AC"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-10-04T21:00:39Z",
    "title_canon_sha256": "637177aadd2cbb75fa18113d98dc4e166c7cbd6944be129a841a031a6369b5cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1710.01805",
    "kind": "arxiv",
    "version": 2
  }
}