Pith Number

pith:EKM53FRX

pith:2015:EKM53FRXXG2CSYOT6UUNHALHMV

not attested not anchored not stored refs pending

Monotonicity formula for complete hypersurfaces in the Hyperbolic space and applications

Greg\'orio Silva Neto, Hil\'ario Alencar

arxiv:1502.02185 v2 · 2015-02-07 · 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{EKM53FRXXG2CSYOT6UUNHALHMV}

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	2026-05-18T00:46:32.241534Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2299dd9637b9b42961d3f528d381676572694884df94a359b338fda9d7a3429d

Aliases

arxiv: 1502.02185 · arxiv_version: 1502.02185v2 · doi: 10.48550/arxiv.1502.02185 · pith_short_12: EKM53FRXXG2C · pith_short_16: EKM53FRXXG2CSYOT · pith_short_8: EKM53FRX

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/EKM53FRXXG2CSYOT6UUNHALHMV \
  | 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: 2299dd9637b9b42961d3f528d381676572694884df94a359b338fda9d7a3429d

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "02d5ecb6755d0b0a190c7c95b742d22db07a3fbbf2dd7620f7ff1e9eb4b0f342",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-02-07T21:13:38Z",
    "title_canon_sha256": "bc0794c0ed76a0255257eaf256976443e467674806e7796d83b99a1fc02e6d27"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1502.02185",
    "kind": "arxiv",
    "version": 2
  }
}