Pith Number

pith:TGQ3ZNFU

pith:2023:TGQ3ZNFUTC4Q5AFNS6UZYZF6RU

not attested not anchored not stored refs pending

Real phase structures on tropical manifolds and patchworks in higher codimension

Arthur Renaudineau, Johannes Rau, Kris Shaw

arxiv:2310.08313 v1 · 2023-10-12 · math.AG · 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{TGQ3ZNFUTC4Q5AFNS6UZYZF6RU}

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

Filtrations of Tope Spaces of Oriented Matroids

Receipt and verification

First computed	2026-07-05T07:00:13.900054Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

99a1bcb4b498b90e80ad97a99c64be8d250c7c6b530690571368f06d38f8bcfb

Aliases

arxiv: 2310.08313 · arxiv_version: 2310.08313v1 · doi: 10.48550/arxiv.2310.08313 · pith_short_12: TGQ3ZNFUTC4Q · pith_short_16: TGQ3ZNFUTC4Q5AFN · pith_short_8: TGQ3ZNFU

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/TGQ3ZNFUTC4Q5AFNS6UZYZF6RU \
  | 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: 99a1bcb4b498b90e80ad97a99c64be8d250c7c6b530690571368f06d38f8bcfb

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "56114f1c5f5f9251c145dd395d4eab9343a7efed85238866e98d8666bc43e708",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2023-10-12T13:20:31Z",
    "title_canon_sha256": "3882558c61382680c6696e1ac4d96ff55f1bb16659aba9dd79e4cc2c7f55da06"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2310.08313",
    "kind": "arxiv",
    "version": 1
  }
}