Pith Number

pith:3PYWQO3O

pith:2016:3PYWQO3OX37BAGGDUZTJXC7ZBA

not attested not anchored not stored refs pending

A continuity theorem for families of sheaves on complex surfaces

Andrei Teleman, Matei Toma, Nicholas Buchdahl

arxiv:1612.09451 v1 · 2016-12-30 · math.CV · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{3PYWQO3OX37BAGGDUZTJXC7ZBA}

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	2026-05-18T00:31:41.796044Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

dbf1683b6ebefe1018c3a6669b8bf9083a0f3daa7c5328f9fe4cf6c490171de2

Aliases

arxiv: 1612.09451 · arxiv_version: 1612.09451v1 · doi: 10.48550/arxiv.1612.09451 · pith_short_12: 3PYWQO3OX37B · pith_short_16: 3PYWQO3OX37BAGGD · pith_short_8: 3PYWQO3O

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/3PYWQO3OX37BAGGDUZTJXC7ZBA \
  | 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: dbf1683b6ebefe1018c3a6669b8bf9083a0f3daa7c5328f9fe4cf6c490171de2

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c40d66841e945cc9eb848f0107e722e72a7beb997d37613130ad1698c9e5039f",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CV",
    "submitted_at": "2016-12-30T10:49:38Z",
    "title_canon_sha256": "4655d1d4171d0e07040daa0a539f4fa65d3792a1a96673e5278cb8157f32bfd6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.09451",
    "kind": "arxiv",
    "version": 1
  }
}