Pith Number

pith:X47NN3UG

pith:2015:X47NN3UGSPVULM4DHYVDTBENDY

not attested not anchored not stored refs pending

Tropical differential equations

Dima Grigoriev

arxiv:1502.08010 v1 · 2015-02-27 · cs.SC · 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{X47NN3UGSPVULM4DHYVDTBENDY}

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	2026-05-18T00:01:23.797880Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

bf3ed6ee8693eb45b3833e2a39848d1e1e0e2d5d951db21d6a87f02020b551cc

Aliases

arxiv: 1502.08010 · arxiv_version: 1502.08010v1 · doi: 10.48550/arxiv.1502.08010 · pith_short_12: X47NN3UGSPVU · pith_short_16: X47NN3UGSPVULM4D · pith_short_8: X47NN3UG

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/X47NN3UGSPVULM4DHYVDTBENDY \
  | 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: bf3ed6ee8693eb45b3833e2a39848d1e1e0e2d5d951db21d6a87f02020b551cc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3cbdaa3d052f2a45975e7dc37765511c7f4f5ec615bcc92bd880960b7dad92f7",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SC",
    "submitted_at": "2015-02-27T19:28:44Z",
    "title_canon_sha256": "7a9d2bdb60f18e8bc30de2abebb51fedf1cea72cfdd714e97fb2c5754c0a3bf9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.08010",
    "kind": "arxiv",
    "version": 1
  }
}