Pith Number

pith:6A5D3P26

pith:2016:6A5D3P26W5L3XSZ4BQFSESKTO7

not attested not anchored not stored refs pending

Newton-Okounkov bodies sprouting on the valuative tree

A. K\"uronya, C. Ciliberto, C. Shramov, J. Ro\'e, M. Farnik, V. Lozovanu

arxiv:1602.02074 v1 · 2016-02-05 · math.AG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{6A5D3P26W5L3XSZ4BQFSESKTO7}

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	2026-05-18T01:21:14.621306Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f03a3dbf5eb757bbcb3c0c0b22495377c152c1f2305a1b1cc3f41f489ff5c0d4

Aliases

arxiv: 1602.02074 · arxiv_version: 1602.02074v1 · doi: 10.48550/arxiv.1602.02074 · pith_short_12: 6A5D3P26W5L3 · pith_short_16: 6A5D3P26W5L3XSZ4 · pith_short_8: 6A5D3P26

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/6A5D3P26W5L3XSZ4BQFSESKTO7 \
  | 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: f03a3dbf5eb757bbcb3c0c0b22495377c152c1f2305a1b1cc3f41f489ff5c0d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "44eb6113a079d3ca2ec9e26964d1635ee279d0a7291938864dcb9528ad390518",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2016-02-05T15:56:46Z",
    "title_canon_sha256": "542bb2cdc05316e36474fbeb23c8646085d713a54f63c34f95e3bb43d86a2af3"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1602.02074",
    "kind": "arxiv",
    "version": 1
  }
}