Pith Number

pith:B77DHXYY

pith:2024:B77DHXYYYXDJIEV2WKEEDPGJBS

not attested not anchored not stored refs pending

Linear Chern-Hopf-Thurston conjecture

Botong Wang, Ya Deng

arxiv:2405.12012 v3 · 2024-05-20 · math.AG · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{B77DHXYYYXDJIEV2WKEEDPGJBS}

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

Topology and Euler characteristics of tropical varieties

Receipt and verification

First computed	2026-07-05T09:12:28.394511Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ffe33df18c5c69412bab28841bcc90cb632b1508bf0c6e386ef10bdddd4ada5

Aliases

arxiv: 2405.12012 · arxiv_version: 2405.12012v3 · doi: 10.48550/arxiv.2405.12012 · pith_short_12: B77DHXYYYXDJ · pith_short_16: B77DHXYYYXDJIEV2 · pith_short_8: B77DHXYY

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/B77DHXYYYXDJIEV2WKEEDPGJBS \
  | 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: 0ffe33df18c5c69412bab28841bcc90cb632b1508bf0c6e386ef10bdddd4ada5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b9de6f6b242dafa8441c221869c26c91c932270001b9a3faebb95efa9aeeb4c4",
    "cross_cats_sorted": [
      "math.DG",
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2024-05-20T13:32:51Z",
    "title_canon_sha256": "9bd242c482507866844dbf222f94b7b8c049d0a6a621085a457cc79e83598ff6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2405.12012",
    "kind": "arxiv",
    "version": 3
  }
}