Pith Number

pith:PHHRDYAT

pith:2012:PHHRDYATM6DMZOHBV3DF5M3K7K

not attested not anchored not stored refs pending

Variational integrator for fractional Pontryagin's systems. Existence of a discrete fractional Noether's theorem

Lo\"ic Bourdin

arxiv:1203.1707 v1 · 2012-03-08 · math.OC

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PHHRDYATM6DMZOHBV3DF5M3K7K}

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	2026-05-18T04:00:37.219888Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

79cf11e0136786ccb8e1aec65eb36afab81a4a8e97cdf901a27267b83639b60c

Aliases

arxiv: 1203.1707 · arxiv_version: 1203.1707v1 · doi: 10.48550/arxiv.1203.1707 · pith_short_12: PHHRDYATM6DM · pith_short_16: PHHRDYATM6DMZOHB · pith_short_8: PHHRDYAT

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/PHHRDYATM6DMZOHBV3DF5M3K7K \
  | 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: 79cf11e0136786ccb8e1aec65eb36afab81a4a8e97cdf901a27267b83639b60c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "720892b63fd429d3e55fb8611c296c2a48dfec77d670469dcf9a1220c13167ff",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.OC",
    "submitted_at": "2012-03-08T08:57:56Z",
    "title_canon_sha256": "d57fd398ae52c20f0f119aacd47e5246ba91e2f920a2adacbf5d2b7a18027df7"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1203.1707",
    "kind": "arxiv",
    "version": 1
  }
}