Pith Number

pith:I3L6ITMP

pith:2014:I3L6ITMPRPUKMKMKP6ZTE7OQSF

not attested not anchored not stored refs pending

Computing tropical curves via homotopy continuation

Anders Jensen, Anton Leykin, Josephine Yu

arxiv:1408.3105 v1 · 2014-08-13 · 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{I3L6ITMPRPUKMKMKP6ZTE7OQSF}

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	2026-05-18T01:09:29.845346Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

46d7e44d8f8be8a6298a7fb3327dd0914a6eb5558c19c2e06b935e278668299d

Aliases

arxiv: 1408.3105 · arxiv_version: 1408.3105v1 · doi: 10.48550/arxiv.1408.3105 · pith_short_12: I3L6ITMPRPUK · pith_short_16: I3L6ITMPRPUKMKMK · pith_short_8: I3L6ITMP

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/I3L6ITMPRPUKMKMKP6ZTE7OQSF \
  | 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: 46d7e44d8f8be8a6298a7fb3327dd0914a6eb5558c19c2e06b935e278668299d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a738fedb54677a984f1a871b1e585430b008d94bab1ab6b3e732b06980343bb1",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2014-08-13T19:52:01Z",
    "title_canon_sha256": "13686e8ee7b5848e371f0b2f87f4428993f9f0b986c783d53704abc5d5a855d2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1408.3105",
    "kind": "arxiv",
    "version": 1
  }
}