Pith Number

pith:M4TXVO7E

pith:2015:M4TXVO7EATMKB7QG2SPLVZPFNE

not attested not anchored not stored refs pending

Stability of Helicoids in Hyperbolic Three-Dimensional Space

Biao Wang

arxiv:1502.04764 v1 · 2015-02-17 · math.DG · math.GT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{M4TXVO7EATMKB7QG2SPLVZPFNE}

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	2026-05-18T02:26:58.384259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

67277abbe404d8a0fe06d49ebae5e56919639872f7eadd64409abf2fcc6ae494

Aliases

arxiv: 1502.04764 · arxiv_version: 1502.04764v1 · doi: 10.48550/arxiv.1502.04764 · pith_short_12: M4TXVO7EATMK · pith_short_16: M4TXVO7EATMKB7QG · pith_short_8: M4TXVO7E

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/M4TXVO7EATMKB7QG2SPLVZPFNE \
  | 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: 67277abbe404d8a0fe06d49ebae5e56919639872f7eadd64409abf2fcc6ae494

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "89ffaca4333f102ea0fe1e5ad3a267b3ca72efb4ab8a87065b393800c4d1c421",
    "cross_cats_sorted": [
      "math.GT"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-17T01:42:07Z",
    "title_canon_sha256": "c3f08bd194c6b1255d10ea4a6f909a4735b64c735287d24de2d4e3ff9f5d574e"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.04764",
    "kind": "arxiv",
    "version": 1
  }
}