Pith Number

pith:J35IWATR

pith:2018:J35IWATRIOVJRMJVXDNM4GV2J4

not attested not anchored not stored refs pending

Iterated multiple points I: functoriality, defining equations and pathologies

Guillermo Pe\~nafort Sanchis, Juan Jos\'e Nu\~no Ballesteros

arxiv:1811.07359 v1 · 2018-11-18 · 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{J35IWATRIOVJRMJVXDNM4GV2J4}

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	2026-05-18T00:00:24.745962Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

4efa8b027143aa98b135b8dace1aba4f01d2068f45bb429c83e41472dbc3a54b

Aliases

arxiv: 1811.07359 · arxiv_version: 1811.07359v1 · doi: 10.48550/arxiv.1811.07359 · pith_short_12: J35IWATRIOVJ · pith_short_16: J35IWATRIOVJRMJV · pith_short_8: J35IWATR

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/J35IWATRIOVJRMJVXDNM4GV2J4 \
  | 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: 4efa8b027143aa98b135b8dace1aba4f01d2068f45bb429c83e41472dbc3a54b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6fcafd9e9051696fc5252e70d7a1560af36b5a56d83e8cc7b87fd2de7a5342ab",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2018-11-18T17:15:37Z",
    "title_canon_sha256": "a7c6abf404cfd10fbacdb30bd02d85932b706da7ab03b266d878ddd2cdf4a362"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1811.07359",
    "kind": "arxiv",
    "version": 1
  }
}