Pith Number

pith:4YVEL42Z

pith:2026:4YVEL42ZV7I3AV6WKUEFFHYLNB

not attested not anchored not stored refs pending

Positive representations over real closed fields

Nicolas Tholozan, Tengren Zhang, Tianqi Wang, Xenia Flamm

arxiv:2601.05102 v2 · 2026-01-08 · math.GT · math.AG · math.DG · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{4YVEL42ZV7I3AV6WKUEFFHYLNB}

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	2026-05-25T02:02:12.159936Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

e62a45f359afd1b057d65508529f0b6859cfe8dc0cc5e97c48cc8362232c315e

Aliases

arxiv: 2601.05102 · arxiv_version: 2601.05102v2 · doi: 10.48550/arxiv.2601.05102 · pith_short_12: 4YVEL42ZV7I3 · pith_short_16: 4YVEL42ZV7I3AV6W · pith_short_8: 4YVEL42Z

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/4YVEL42ZV7I3AV6WKUEFFHYLNB \
  | 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: e62a45f359afd1b057d65508529f0b6859cfe8dc0cc5e97c48cc8362232c315e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "fd6b9f78af84183c6b2c453dd27a5d44a34a881d37d779158518b90e5830e9fd",
    "cross_cats_sorted": [
      "math.AG",
      "math.DG",
      "math.RT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.GT",
    "submitted_at": "2026-01-08T16:48:13Z",
    "title_canon_sha256": "7a308e289107fa55a425b954261c157d91d67387cc5972803e9d19ee787b63e1"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2601.05102",
    "kind": "arxiv",
    "version": 2
  }
}