Pith Number

pith:DBOFPGOF

pith:2015:DBOFPGOFO5T3W4YZ3PPIDUZ6HE

not attested not anchored not stored refs pending

The projective symplectic geometry of higher order variational problems: minimality conditions

C. Dur\'an, D. Otero

arxiv:1510.02762 v1 · 2015-10-09 · math.SG · math-ph · math.MP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DBOFPGOFO5T3W4YZ3PPIDUZ6HE}

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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	2026-05-18T01:30:41.544791Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

185c5799c57767bb7319dbde81d33e392baee9715be5065a5c67e21b32db6715

Aliases

arxiv: 1510.02762 · arxiv_version: 1510.02762v1 · doi: 10.48550/arxiv.1510.02762 · pith_short_12: DBOFPGOFO5T3 · pith_short_16: DBOFPGOFO5T3W4YZ · pith_short_8: DBOFPGOF

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/DBOFPGOFO5T3W4YZ3PPIDUZ6HE \
  | 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: 185c5799c57767bb7319dbde81d33e392baee9715be5065a5c67e21b32db6715

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "e1b65185a4078d6f55b52f42aa5cd2d988beeb97e7d8e69b39e4571fd26ffa92",
    "cross_cats_sorted": [
      "math-ph",
      "math.MP"
    ],
    "license": "http://creativecommons.org/publicdomain/zero/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-10-09T18:31:59Z",
    "title_canon_sha256": "c14cddf942906328eea4e15d0f0ab1ae47ff42b41b6e59f221dc9a33a3bddb0b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.02762",
    "kind": "arxiv",
    "version": 1
  }
}