Pith Number

pith:FRUER6D5

pith:2013:FRUER6D53RRDAASO23IVTLL6RU

not attested not anchored not stored refs pending

The exponential map of a $C^{1,1}$-metric

Michael Kunzinger, Milena Stojkovic, Roland Steinbauer

arxiv:1306.4776 v3 · 2013-06-20 · 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{FRUER6D53RRDAASO23IVTLL6RU}

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	2026-05-18T02:48:46.982433Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2c6848f87ddc6230024ed6d159ad7e8d0337af4f9ee80ee804ed0ddc6a107752

Aliases

arxiv: 1306.4776 · arxiv_version: 1306.4776v3 · doi: 10.48550/arxiv.1306.4776 · pith_short_12: FRUER6D53RRD · pith_short_16: FRUER6D53RRDAASO · pith_short_8: FRUER6D5

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/FRUER6D53RRDAASO23IVTLL6RU \
  | 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: 2c6848f87ddc6230024ed6d159ad7e8d0337af4f9ee80ee804ed0ddc6a107752

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "4bae5e51ae319141cf9eb94b548c11ef8d21e8a7bd0dff86ca9601f240b5c1fd",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2013-06-20T07:45:51Z",
    "title_canon_sha256": "7bbb6f6295e1d08b593a54b16891b05431278a0116a091ad1e506f3813cdbef5"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1306.4776",
    "kind": "arxiv",
    "version": 3
  }
}