Pith Number

pith:RYGCYTMZ

pith:2013:RYGCYTMZLV7PALCHHQUSQ3XFUO

not attested not anchored not stored refs pending

TBA type equations and tropical curves

Jacopo Stoppa, Sara Angela Filippini

arxiv:1306.3852 v1 · 2013-06-17 · math.AG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{RYGCYTMZLV7PALCHHQUSQ3XFUO}

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	2026-05-18T03:20:46.181821Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8e0c2c4d995d7ef02c473c29286ee5a3a86b26e6110ffc58d1c394c347bccfae

Aliases

arxiv: 1306.3852 · arxiv_version: 1306.3852v1 · doi: 10.48550/arxiv.1306.3852 · pith_short_12: RYGCYTMZLV7P · pith_short_16: RYGCYTMZLV7PALCH · pith_short_8: RYGCYTMZ

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/RYGCYTMZLV7PALCHHQUSQ3XFUO \
  | 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: 8e0c2c4d995d7ef02c473c29286ee5a3a86b26e6110ffc58d1c394c347bccfae

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "6d653db44ac6a80f4be1916823ef58b00598e41f28940ac957f5dee8343b2b2f",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2013-06-17T13:32:07Z",
    "title_canon_sha256": "f3767951fa9dba778e0b73fa246a9d0904025a678925f5bbf81393c1ae853b6c"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.3852",
    "kind": "arxiv",
    "version": 1
  }
}