Pith Number

pith:4L4USLQ4

pith:2017:4L4USLQ44P3HQZLD3YKRBAH7AZ

not attested not anchored not stored refs pending

Formality of $\mathbb{P}$-objects

Andreas Hochenegger, Andreas Krug

arxiv:1709.06434 v2 · 2017-09-19 · math.AG · math.CT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4L4USLQ44P3HQZLD3YKRBAH7AZ}

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	2026-05-17T23:46:50.528299Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e2f9492e1ce3f6786563de151080ff0655db7b9c5ce1ef1a4a3d87ca5d95399a

Aliases

arxiv: 1709.06434 · arxiv_version: 1709.06434v2 · doi: 10.48550/arxiv.1709.06434 · pith_short_12: 4L4USLQ44P3H · pith_short_16: 4L4USLQ44P3HQZLD · pith_short_8: 4L4USLQ4

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/4L4USLQ44P3HQZLD3YKRBAH7AZ \
  | 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: e2f9492e1ce3f6786563de151080ff0655db7b9c5ce1ef1a4a3d87ca5d95399a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dede1334129b94f973f3a5bfd8761d215e8a994ff4a8413192454349b301aad5",
    "cross_cats_sorted": [
      "math.CT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2017-09-19T13:59:59Z",
    "title_canon_sha256": "eacf62ed22c77f178cf17d0bad4cfe80d79cf83567f3d82680947012418c465c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1709.06434",
    "kind": "arxiv",
    "version": 2
  }
}