Pith Number

pith:ZQDKKNYU

pith:2016:ZQDKKNYUM36Y7KQNKDBQFZB6YM

not attested not anchored not stored refs pending

Poincar\'e duality for tropical Dolbeault cohomology of non-archimedean Mumford curves

Philipp Jell, Veronika Wanner

arxiv:1612.01889 v3 · 2016-12-06 · 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{ZQDKKNYUM36Y7KQNKDBQFZB6YM}

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	2026-05-18T00:27:04.761173Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

cc06a5371466fd8faa0d50c302e43ec3252127c8e88c6447c3918a17e9bbd5dc

Aliases

arxiv: 1612.01889 · arxiv_version: 1612.01889v3 · doi: 10.48550/arxiv.1612.01889 · pith_short_12: ZQDKKNYUM36Y · pith_short_16: ZQDKKNYUM36Y7KQN · pith_short_8: ZQDKKNYU

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/ZQDKKNYUM36Y7KQNKDBQFZB6YM \
  | 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: cc06a5371466fd8faa0d50c302e43ec3252127c8e88c6447c3918a17e9bbd5dc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a4b55348f1f2a58c760753a6d339765fe6eb7a311a79391adad9f06519926eeb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-12-06T16:22:39Z",
    "title_canon_sha256": "f2ec343d99ae18978186a3bffd0c4e55cab39199c98a483c5ca84c69f152f334"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1612.01889",
    "kind": "arxiv",
    "version": 3
  }
}