Pith Number

pith:U3GET6J2

pith:2020:U3GET6J2DSECB4TUG5XIDSPRBI

not attested not anchored not stored refs pending

Infinite staircases for Hirzebruch surfaces

Ana Rita Pires, Dusa McDuff, Emily Maw, Grace T. Mwakyoma, Maria Bertozzi, Morgan Weiler, Tara S. Holm

arxiv:2010.08567 v2 · 2020-10-16 · 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{U3GET6J2DSECB4TUG5XIDSPRBI}

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.

Cited by

1 paper in Pith

Quadrilateral mutations and symplectic embeddings

Receipt and verification

First computed	2026-07-05T02:33:21.120349Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a6cc49f93a1c8820f274376e81c9f10a1e55444821187c2e581c62febe72879b

Aliases

arxiv: 2010.08567 · arxiv_version: 2010.08567v2 · doi: 10.48550/arxiv.2010.08567 · pith_short_12: U3GET6J2DSEC · pith_short_16: U3GET6J2DSECB4TU · pith_short_8: U3GET6J2

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/U3GET6J2DSECB4TUG5XIDSPRBI \
  | 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: a6cc49f93a1c8820f274376e81c9f10a1e55444821187c2e581c62febe72879b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "a84cc5917e74bc9490ee39dc4c6909479fdd7f863ae2b3d791c8e112fa8f1530",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2020-10-16T18:03:28Z",
    "title_canon_sha256": "4b1a9bf763a2546defe315faf8976e3e5bf04eb56d3482fc118dd1092b75d0dd"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2010.08567",
    "kind": "arxiv",
    "version": 2
  }
}