Pith Number

pith:46CFP5T4

pith:2010:46CFP5T4UPQSNDDWJA3MNBZN4R

not attested not anchored not stored refs pending

Obstructions to lifting tropical curves in surfaces in 3-space

Eric Katz, Tristram Bogart

arxiv:1101.0297 v2 · 2010-12-31 · math.AG · math.CO

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{46CFP5T4UPQSNDDWJA3MNBZN4R}

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	2026-05-18T03:57:12.942021Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e78457f67ca3e1268c764836c6872de467f48ef7e8ca7ba6088983fe92bc1db7

Aliases

arxiv: 1101.0297 · arxiv_version: 1101.0297v2 · doi: 10.48550/arxiv.1101.0297 · pith_short_12: 46CFP5T4UPQS · pith_short_16: 46CFP5T4UPQSNDDW · pith_short_8: 46CFP5T4

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/46CFP5T4UPQSNDDWJA3MNBZN4R \
  | 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: e78457f67ca3e1268c764836c6872de467f48ef7e8ca7ba6088983fe92bc1db7

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8284d8e68adc0c7ded405d5d84c4b489219812781d9a5ba500c1cdff23546576",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2010-12-31T20:52:13Z",
    "title_canon_sha256": "228359342651e228e9eacdf999382702440974b5c91ad9f43f02e8cca1ed417e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1101.0297",
    "kind": "arxiv",
    "version": 2
  }
}