Pith Number

pith:DRD2TE46

pith:2011:DRD2TE46JAFU3LP347T6XPZIWT

not attested not anchored not stored refs pending

Global representations of the Heat and Schr\"odinger equation with singular potential

Jose Franco, Mark Sepanski

arxiv:1110.1030 v3 · 2011-10-05 · math.RT

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{DRD2TE46JAFU3LP347T6XPZIWT}

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	2026-05-18T03:33:38.043206Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

1c47a9939e480b4dadfbe7e7ebbf28b4e64d05afb8b46790f508d2e338b6d64b

Aliases

arxiv: 1110.1030 · arxiv_version: 1110.1030v3 · doi: 10.48550/arxiv.1110.1030 · pith_short_12: DRD2TE46JAFU · pith_short_16: DRD2TE46JAFU3LP3 · pith_short_8: DRD2TE46

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/DRD2TE46JAFU3LP347T6XPZIWT \
  | 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: 1c47a9939e480b4dadfbe7e7ebbf28b4e64d05afb8b46790f508d2e338b6d64b

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "825c90ce7622c6b939476158baa89db196152195581f461c24cbdfa122b26d85",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-10-05T16:05:54Z",
    "title_canon_sha256": "1d43376001069f3b8a056da87119296c44cec843838289ba6d64c5668a162f98"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1110.1030",
    "kind": "arxiv",
    "version": 3
  }
}