Pith Number

pith:6CTQZDVP

pith:2016:6CTQZDVPDYPZ72S23UAGQMCV4C

not attested not anchored not stored refs pending

Frechet differentiability of molecular distribution functions I. $L^\infty$ analysis

Martin Hanke

arxiv:1603.03899 v1 · 2016-03-12 · 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{6CTQZDVPDYPZ72S23UAGQMCV4C}

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	2026-05-18T01:19:10.134917Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

f0a70c8eaf1e1f9fea5add00683055e097f49c059523aa5369fa2282e75f34e5

Aliases

arxiv: 1603.03899 · arxiv_version: 1603.03899v1 · doi: 10.48550/arxiv.1603.03899 · pith_short_12: 6CTQZDVPDYPZ · pith_short_16: 6CTQZDVPDYPZ72S2 · pith_short_8: 6CTQZDVP

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/6CTQZDVPDYPZ72S23UAGQMCV4C \
  | 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: f0a70c8eaf1e1f9fea5add00683055e097f49c059523aa5369fa2282e75f34e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "08dcf099b06a3b522e4ac1f9c5cbc9455491f18cf89ae092361b736e450b510d",
    "cross_cats_sorted": [
      "math.MP"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2016-03-12T12:18:17Z",
    "title_canon_sha256": "a2d5ecc025981ce7cb87d6d5d652422f2716654a2e2e98e4c5cb766cd444be99"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1603.03899",
    "kind": "arxiv",
    "version": 1
  }
}