Pith Number

pith:VHUOEU2J

pith:2020:VHUOEU2JPSHMNZ2QVQPUMDJSY5

not attested not anchored not stored refs pending

Realization of tropical curves in abelian surfaces

Takeo Nishinou

arxiv:2007.16148 v2 · 2020-07-31 · 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{VHUOEU2JPSHMNZ2QVQPUMDJSY5}

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	2026-06-19T16:11:07.021498Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a9e8e253497c8ec6e750ac1f460d32c7560c3f0c27642737fc2dd2a06ddf8396

Aliases

arxiv: 2007.16148 · arxiv_version: 2007.16148v2 · doi: 10.48550/arxiv.2007.16148 · pith_short_12: VHUOEU2JPSHM · pith_short_16: VHUOEU2JPSHMNZ2Q · pith_short_8: VHUOEU2J

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/VHUOEU2JPSHMNZ2QVQPUMDJSY5 \
  | 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: a9e8e253497c8ec6e750ac1f460d32c7560c3f0c27642737fc2dd2a06ddf8396

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c572455d1d2447c5f15a07d6ba50fe4d99297bd46ca3859c74c8bdec59e4e1d4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2020-07-31T15:57:56Z",
    "title_canon_sha256": "8fede061e7d03f5c1a7b964c04f9624b4f18903d0595ad3d2f3df9e8319f1282"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2007.16148",
    "kind": "arxiv",
    "version": 2
  }
}