Pith Number

pith:2CME3ELM

pith:2015:2CME3ELMVAOK7CQHE3JWYZUV6K

not attested not anchored not stored refs pending

A dual rigidity of the sphere and the hyperbolic plane

Magdalena Caballero, Rafael M. Rubio

arxiv:1505.05446 v1 · 2015-05-20 · 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{2CME3ELMVAOK7CQHE3JWYZUV6K}

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	2026-05-18T02:03:56.331873Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

d0984d916ca81caf8a0726d36c6695f2b4e4fcfc0f5aebee4a2ec11fe1d5e0bd

Aliases

arxiv: 1505.05446 · arxiv_version: 1505.05446v1 · doi: 10.48550/arxiv.1505.05446 · pith_short_12: 2CME3ELMVAOK · pith_short_16: 2CME3ELMVAOK7CQH · pith_short_8: 2CME3ELM

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/2CME3ELMVAOK7CQHE3JWYZUV6K \
  | 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: d0984d916ca81caf8a0726d36c6695f2b4e4fcfc0f5aebee4a2ec11fe1d5e0bd

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "330934f48f29dfc31baebe8fc462034673cf9f8523952350655511ddec892b87",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-05-20T16:29:33Z",
    "title_canon_sha256": "08a2ade1bcce62ef75a26527bebff9e372e3ed2fc14b04dc2512b911122c6dc4"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05446",
    "kind": "arxiv",
    "version": 1
  }
}