Pith Number

pith:KMHWM6KK

pith:2015:KMHWM6KK2O6PPFEV7Z2OPBQIZZ

not attested not anchored not stored refs pending

Rational and iterated maps, degeneracy loci, and the generalized Riemann-Hurwitz formula

Alberto Verjovsky, James F. Glazebrook

arxiv:1501.02358 v2 · 2015-01-10 · math.AT · 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{KMHWM6KK2O6PPFEV7Z2OPBQIZZ}

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	2026-05-18T01:21:05.226072Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

530f66794ad3bcf79495fe74e78608ce67bd0142f529a80a3cbeece69dcbee8a

Aliases

arxiv: 1501.02358 · arxiv_version: 1501.02358v2 · doi: 10.48550/arxiv.1501.02358 · pith_short_12: KMHWM6KK2O6P · pith_short_16: KMHWM6KK2O6PPFEV · pith_short_8: KMHWM6KK

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/KMHWM6KK2O6PPFEV7Z2OPBQIZZ \
  | 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: 530f66794ad3bcf79495fe74e78608ce67bd0142f529a80a3cbeece69dcbee8a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c6a395ac8d02e6f0630b93423fbcede1e6bb92b3439b9c5dc961037dca7fa066",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AT",
    "submitted_at": "2015-01-10T14:51:16Z",
    "title_canon_sha256": "0732eaef216fb233b689290fe9b62f4acba454ab98c53d42ae8578ede1b32027"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.02358",
    "kind": "arxiv",
    "version": 2
  }
}