Pith Number

pith:G4QOM7O2

pith:2015:G4QOM7O2UT4GXOBQMFB2SRUOP2

not attested not anchored not stored refs pending

Existence of $p$-energy minimizers in homotopy classes and lifts of Newtonian maps

Elefterios Soultanis

arxiv:1506.07767 v2 · 2015-06-24 · math.DG · math.AT · math.FA

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G4QOM7O2UT4GXOBQMFB2SRUOP2}

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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	2026-05-18T01:19:35.350845Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

3720e67ddaa4f86bb8306143a9468e7e889e63ded7b1a8ccf515d758596dde92

Aliases

arxiv: 1506.07767 · arxiv_version: 1506.07767v2 · doi: 10.48550/arxiv.1506.07767 · pith_short_12: G4QOM7O2UT4G · pith_short_16: G4QOM7O2UT4GXOBQ · pith_short_8: G4QOM7O2

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/G4QOM7O2UT4GXOBQMFB2SRUOP2 \
  | 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: 3720e67ddaa4f86bb8306143a9468e7e889e63ded7b1a8ccf515d758596dde92

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "1a08ca8159c4716bf65873ea8b0fe53628cd457b19bf6e414d0ce6972ce66a07",
    "cross_cats_sorted": [
      "math.AT",
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2015-06-24T11:00:28Z",
    "title_canon_sha256": "af602a5b755f90b96bceb89a57a7fa70895e12ba6246a706b86bcce0cb635eea"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1506.07767",
    "kind": "arxiv",
    "version": 2
  }
}