Pith Number

pith:57K2OZQC

pith:2018:57K2OZQCZHDOXXWZ7BC2HBU2NT

not attested not anchored not stored refs pending

Monotonicity on homogeneous spaces

Cyrus Mostajeran, Rodolphe Sepulchre

arxiv:1812.01753 v2 · 2018-12-04 · 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{57K2OZQCZHDOXXWZ7BC2HBU2NT}

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	2026-05-17T23:57:30.637197Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

efd5a76602c9c6ebded9f845a3869a6cf4a25462ccf5633f3221192337a17545

Aliases

arxiv: 1812.01753 · arxiv_version: 1812.01753v2 · doi: 10.48550/arxiv.1812.01753 · pith_short_12: 57K2OZQCZHDO · pith_short_16: 57K2OZQCZHDOXXWZ · pith_short_8: 57K2OZQC

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/57K2OZQCZHDOXXWZ7BC2HBU2NT \
  | 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: efd5a76602c9c6ebded9f845a3869a6cf4a25462ccf5633f3221192337a17545

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "cb88e481e0a78f74af6e4d514b0f0bba5ddb21479e5b2e1fe6358a93d76ea1d6",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2018-12-04T23:42:03Z",
    "title_canon_sha256": "970130ca6a976202a49857b3196b70b0903399c9091111be55c841e9deb0f000"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1812.01753",
    "kind": "arxiv",
    "version": 2
  }
}