Pith Number

pith:MPCZV3KG

pith:2015:MPCZV3KGWUTZLIWTGG7N54IUKN

not attested not anchored not stored refs pending

Incarnations of Berthelot's conjecture

Christopher Lazda

arxiv:1508.06787 v2 · 2015-08-27 · math.NT · 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{MPCZV3KGWUTZLIWTGG7N54IUKN}

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	2026-05-18T00:52:34.516514Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

63c59aed46b52795a2d331bedef1145341157f417c7cedff5ccc52e2a28417ef

Aliases

arxiv: 1508.06787 · arxiv_version: 1508.06787v2 · doi: 10.48550/arxiv.1508.06787 · pith_short_12: MPCZV3KGWUTZ · pith_short_16: MPCZV3KGWUTZLIWT · pith_short_8: MPCZV3KG

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/MPCZV3KGWUTZLIWTGG7N54IUKN \
  | 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: 63c59aed46b52795a2d331bedef1145341157f417c7cedff5ccc52e2a28417ef

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "bb339abe9f3f40d775588f91d46b12262d1e4d7e5ec7c2c14e937d5aaea7d185",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.NT",
    "submitted_at": "2015-08-27T10:04:15Z",
    "title_canon_sha256": "feb9e70e5fd8e88280bbbf561a57cd911ceedabd31079509bf7c8002d71517cc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.06787",
    "kind": "arxiv",
    "version": 2
  }
}