Pith Number

pith:OLMGEJIF

pith:2015:OLMGEJIF45GS3LWSCFMPV4OAJU

not attested not anchored not stored refs pending

Monomialization of singular metrics on real surfaces

Vincent Grandjean

arxiv:1505.05167 v2 · 2015-05-19 · math.AG · 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{OLMGEJIF45GS3LWSCFMPV4OAJU}

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	2026-05-17T23:40:14.616036Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

72d8622505e74d2daed21158faf1c04d1ffc6b9771614f4377d31c1a9c40c43a

Aliases

arxiv: 1505.05167 · arxiv_version: 1505.05167v2 · doi: 10.48550/arxiv.1505.05167 · pith_short_12: OLMGEJIF45GS · pith_short_16: OLMGEJIF45GS3LWS · pith_short_8: OLMGEJIF

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/OLMGEJIF45GS3LWSCFMPV4OAJU \
  | 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: 72d8622505e74d2daed21158faf1c04d1ffc6b9771614f4377d31c1a9c40c43a

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "597a1bd6698122e52d277d440c1a410b0caa9993a091d6a8a7ac5bffab74ac13",
    "cross_cats_sorted": [
      "math.DG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AG",
    "submitted_at": "2015-05-19T20:13:47Z",
    "title_canon_sha256": "ff5292656ad53b92f460b1dc062527fe0820afd9ce73d9fd55895c8cea35e664"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1505.05167",
    "kind": "arxiv",
    "version": 2
  }
}