Pith Number

pith:UCGAGX6A

pith:2012:UCGAGX6AWSHMKGQGWODBDDZX4G

not attested not anchored not stored refs pending

Exponential laws for ultrametric partially differentiable functions and applications

Helge Glockner

arxiv:1209.1384 v3 · 2012-09-06 · 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{UCGAGX6AWSHMKGQGWODBDDZX4G}

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	2026-05-18T03:45:52.778479Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a08c035fc0b48ec51a06b386118f37e190a785c16e3970f48c6429cba4f5ca17

Aliases

arxiv: 1209.1384 · arxiv_version: 1209.1384v3 · doi: 10.48550/arxiv.1209.1384 · pith_short_12: UCGAGX6AWSHM · pith_short_16: UCGAGX6AWSHMKGQG · pith_short_8: UCGAGX6A

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/UCGAGX6AWSHMKGQGWODBDDZX4G \
  | 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: a08c035fc0b48ec51a06b386118f37e190a785c16e3970f48c6429cba4f5ca17

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "8912627e3e7c2f4982350a71b49659d2e6b735628ed5e98740fc1570a6438ba7",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2012-09-06T19:53:44Z",
    "title_canon_sha256": "713e915a94838a924a6929ae56bfec8c13cb35623e72d47cddbc69b2dbf62ad0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1209.1384",
    "kind": "arxiv",
    "version": 3
  }
}