Pith Number

pith:ERS5DGMD

pith:2021:ERS5DGMDOV75AAVWT4QJQLJNIV

not attested not anchored not stored refs pending

Dolbeault Cohomology of Graphs and Berkovich Curves

Joseph Rabinoff, Philipp Jell, Walter Gubler

arxiv:2111.05747 v1 · 2021-11-10 · math.AG · math.CO · math.NT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{ERS5DGMDOV75AAVWT4QJQLJNIV}

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.

Cited by

1 paper in Pith

Tropical intersection homology

Receipt and verification

First computed	2026-07-05T03:30:47.682395Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2465d19983757fd002b69f20982d2d455fe0d40ce86d9d855acf55890bdf03c6

Aliases

arxiv: 2111.05747 · arxiv_version: 2111.05747v1 · doi: 10.48550/arxiv.2111.05747 · pith_short_12: ERS5DGMDOV75 · pith_short_16: ERS5DGMDOV75AAVW · pith_short_8: ERS5DGMD

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/ERS5DGMDOV75AAVWT4QJQLJNIV \
  | 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: 2465d19983757fd002b69f20982d2d455fe0d40ce86d9d855acf55890bdf03c6

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d7c7ecd2bbf71ba08de1d1bd908dd64b9b68f0f590c45eae2d417f5dfd33c60",
    "cross_cats_sorted": [
      "math.CO",
      "math.NT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2021-11-10T15:40:40Z",
    "title_canon_sha256": "5f8b420ad8db12a9e9e064f6cf3bac46ac07bedf6a14328a75060a21f743911a"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2111.05747",
    "kind": "arxiv",
    "version": 1
  }
}