Pith Number

pith:WYUIVPZ4

pith:2015:WYUIVPZ4ITGTEKO64CFI2XATDB

not attested not anchored not stored refs pending

A metric graph satisfying $w^1_4=1$ that cannot be lifted to a curve satisfying $\dim (W^1_4)=1$

Marc Coppens

arxiv:1501.03740 v1 · 2015-01-15 · 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{WYUIVPZ4ITGTEKO64CFI2XATDB}

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	2026-05-18T02:29:17.911187Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

b6288abf3c44cd3229dee08a8d5c13184d0c4e2b372b09ff39ae1a22970d5334

Aliases

arxiv: 1501.03740 · arxiv_version: 1501.03740v1 · doi: 10.48550/arxiv.1501.03740 · pith_short_12: WYUIVPZ4ITGT · pith_short_16: WYUIVPZ4ITGTEKO6 · pith_short_8: WYUIVPZ4

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/WYUIVPZ4ITGTEKO64CFI2XATDB \
  | 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: b6288abf3c44cd3229dee08a8d5c13184d0c4e2b372b09ff39ae1a22970d5334

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "835feaac9a37522c584a659b8b35b1fef97809bf3864ccab581ae2eca7c5debe",
    "cross_cats_sorted": [
      "math.CO"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-01-15T16:48:05Z",
    "title_canon_sha256": "a0b72de8eb9c9a74c8afd192acfe261824babce1678459ce91f1858a25bd2184"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.03740",
    "kind": "arxiv",
    "version": 1
  }
}