Pith Number

pith:M3SND7JM

pith:2015:M3SND7JMAMGIETW5FF6VPNF524

not attested not anchored not stored refs pending

Geodesics of positive Lagrangians in Milnor fibers

Amitai M. Yuval, Jake P. Solomon

arxiv:1501.00972 v3 · 2015-01-05 · math.SG · math.DG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M3SND7JMAMGIETW5FF6VPNF524}

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	2026-05-18T00:51:05.682458Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

66e4d1fd2c030c824edd297d57b4bdd70b2c720da0c1fb31e096ebcb7caded66

Aliases

arxiv: 1501.00972 · arxiv_version: 1501.00972v3 · doi: 10.48550/arxiv.1501.00972 · pith_short_12: M3SND7JMAMGI · pith_short_16: M3SND7JMAMGIETW5 · pith_short_8: M3SND7JM

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/M3SND7JMAMGIETW5FF6VPNF524 \
  | 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: 66e4d1fd2c030c824edd297d57b4bdd70b2c720da0c1fb31e096ebcb7caded66

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "325008ee6cb300ee9efa043bc6560a1bd5235a5bb0ed6fe523e5492b875b1b66",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-01-05T20:56:08Z",
    "title_canon_sha256": "bfa0dde910f18c39fc2f4bf08edbf1fc5739d4b3c08501f1f18c9aa0cc8d1c3f"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1501.00972",
    "kind": "arxiv",
    "version": 3
  }
}