Pith Number

pith:UVMT2I6X

pith:2013:UVMT2I6XSGAYDJRY7DZZXBWWRU

not attested not anchored not stored refs pending

Differentiable mappings between spaces of sections

Helge Glockner

arxiv:1308.1172 v1 · 2013-08-06 · 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{UVMT2I6XSGAYDJRY7DZZXBWWRU}

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	2026-05-18T03:16:39.634296Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a5593d23d7918181a638f8f39b86d68d34965d056d624f9c413079c379c08bf9

Aliases

arxiv: 1308.1172 · arxiv_version: 1308.1172v1 · doi: 10.48550/arxiv.1308.1172 · pith_short_12: UVMT2I6XSGAY · pith_short_16: UVMT2I6XSGAYDJRY · pith_short_8: UVMT2I6X

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/UVMT2I6XSGAYDJRY7DZZXBWWRU \
  | 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: a5593d23d7918181a638f8f39b86d68d34965d056d624f9c413079c379c08bf9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b28013b6e8693b4273a2b110923c6a37ab23b7ff88a3aa663e3a0b5c904ec2e9",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-08-06T03:28:38Z",
    "title_canon_sha256": "c88e7740c1564852d9ddbb43f5f6100475ae1a8fbc3fdccb30ea71cad9dcf6e6"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1308.1172",
    "kind": "arxiv",
    "version": 1
  }
}