Pith Number

pith:WNIO7HT2

pith:2013:WNIO7HT2FDDUSC3QMIVO27KUTB

not attested not anchored not stored refs pending

Universal tropical structures for curves in exploded manifolds

Brett Parker

arxiv:1301.4745 v1 · 2013-01-21 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{WNIO7HT2FDDUSC3QMIVO27KUTB}

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	2026-05-18T03:35:55.786434Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b350ef9e7a28c7490b70622aed7d5498657d5754bbbff42faec44b97b408d405

Aliases

arxiv: 1301.4745 · arxiv_version: 1301.4745v1 · doi: 10.48550/arxiv.1301.4745 · pith_short_12: WNIO7HT2FDDU · pith_short_16: WNIO7HT2FDDUSC3Q · pith_short_8: WNIO7HT2

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/WNIO7HT2FDDUSC3QMIVO27KUTB \
  | 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: b350ef9e7a28c7490b70622aed7d5498657d5754bbbff42faec44b97b408d405

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c72129224daf123a64497e856b91381b6b5a83b70ad8d69e92222973682266e4",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2013-01-21T03:56:57Z",
    "title_canon_sha256": "9511d8accbce21c72dd7888ea61833264d624015ef2de97f7d6622c174f534b2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1301.4745",
    "kind": "arxiv",
    "version": 1
  }
}