Pith Number

pith:ZDPX67JA

pith:2016:ZDPX67JAXUSBDZVAQVXTWMDXDD

not attested not anchored not stored refs pending

Three dimensional tropical correspondence formula

Brett Parker

arxiv:1608.02306 v2 · 2016-08-08 · math.SG · math-ph · math.AG · math.CO · math.DG · 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{ZDPX67JAXUSBDZVAQVXTWMDXDD}

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	2026-05-18T00:45:48.766779Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c8df7f7d20bd2411e6a0856f3b307718e067e270c15d024c02d04b16f53e76cd

Aliases

arxiv: 1608.02306 · arxiv_version: 1608.02306v2 · doi: 10.48550/arxiv.1608.02306 · pith_short_12: ZDPX67JAXUSB · pith_short_16: ZDPX67JAXUSBDZVA · pith_short_8: ZDPX67JA

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/ZDPX67JAXUSBDZVAQVXTWMDXDD \
  | 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: c8df7f7d20bd2411e6a0856f3b307718e067e270c15d024c02d04b16f53e76cd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "677c35105c2428405d642b9b4f918c295cf273618c580746a41a970d19049052",
    "cross_cats_sorted": [
      "math-ph",
      "math.AG",
      "math.CO",
      "math.DG",
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2016-08-08T03:36:21Z",
    "title_canon_sha256": "6c84f4bc46a5a713245b01975494fe9fe187e8d352940929decdcbf641bfd034"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1608.02306",
    "kind": "arxiv",
    "version": 2
  }
}