Pith Number

pith:YPIRB7JD

pith:2022:YPIRB7JDNFG76SJNPGGUDNKT22

not attested not anchored not stored refs pending

Minimal Representations of Tropical Rational Functions

Jidong Wang, Ngoc Mai Tran

arxiv:2205.05647 v4 · 2022-05-11 · 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{YPIRB7JDNFG76SJNPGGUDNKT22}

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.

Cited by

1 paper in Pith

Geometric classification of primes modulo a (bend) congruence

Receipt and verification

First computed	2026-07-05T08:47:04.130748Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c3d110fd23694dff492d798d41b553d6a92986e1d1be60c1f9f382abe5d64d39

Aliases

arxiv: 2205.05647 · arxiv_version: 2205.05647v4 · doi: 10.48550/arxiv.2205.05647 · pith_short_12: YPIRB7JDNFG7 · pith_short_16: YPIRB7JDNFG76SJN · pith_short_8: YPIRB7JD

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/YPIRB7JDNFG76SJNPGGUDNKT22 \
  | 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: c3d110fd23694dff492d798d41b553d6a92986e1d1be60c1f9f382abe5d64d39

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "dcdf31a0b6f44f51a7dd9393a5328d49d156d47eda70eeac86dd697e67be8cac",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CO",
    "submitted_at": "2022-05-11T17:23:54Z",
    "title_canon_sha256": "bdf818e27f1865b130b44f642a137e861580f37e52c1b69248c2cc2eb21571ba"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2205.05647",
    "kind": "arxiv",
    "version": 4
  }
}