Pith Number

pith:DXAUFFA5

pith:2010:DXAUFFA5FGE7NMRPYJ4SN3V2ZF

not attested not anchored not stored refs pending

Cup-length estimates for leaf-wise intersections

Al Momin, Peter Albers

arxiv:1002.3283 v2 · 2010-02-17 · math.SG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DXAUFFA5FGE7NMRPYJ4SN3V2ZF}

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	2026-05-18T04:39:08.030202Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1dc142941d2989f6b22fc27926eebac9623c9ae513056ae4d0923ced0ab1724d

Aliases

arxiv: 1002.3283 · arxiv_version: 1002.3283v2 · doi: 10.48550/arxiv.1002.3283 · pith_short_12: DXAUFFA5FGE7 · pith_short_16: DXAUFFA5FGE7NMRP · pith_short_8: DXAUFFA5

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/DXAUFFA5FGE7NMRPYJ4SN3V2ZF \
  | 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: 1dc142941d2989f6b22fc27926eebac9623c9ae513056ae4d0923ced0ab1724d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "68458e22ba7fa993f296b5e8ca9e3cf760cc60b7e000a090d85d2814b682fbe2",
    "cross_cats_sorted": [
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2010-02-17T15:32:49Z",
    "title_canon_sha256": "f3dbbee901bb866a2a0314668cc00a57aecba8117cf84763dab1d469ccd62a72"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1002.3283",
    "kind": "arxiv",
    "version": 2
  }
}