Pith Number

pith:RFB5EANI

pith:2013:RFB5EANIW2SVXM7WHUBY6CTEQG

not attested not anchored not stored refs pending

A note on Aubin-Lions-Dubinskii lemmas

Ansgar J\"ungel, Jian-Guo Liu, Xiuqing Chen

arxiv:1305.6235 v1 · 2013-05-27 · 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{RFB5EANIW2SVXM7WHUBY6CTEQG}

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	2026-05-18T03:24:51.842378Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8943d201a8b6a55bb3f63d038f0a648195a94c45151f9f26f81c36472ab99ade

Aliases

arxiv: 1305.6235 · arxiv_version: 1305.6235v1 · doi: 10.48550/arxiv.1305.6235 · pith_short_12: RFB5EANIW2SV · pith_short_16: RFB5EANIW2SVXM7W · pith_short_8: RFB5EANI

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/RFB5EANIW2SVXM7WHUBY6CTEQG \
  | 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: 8943d201a8b6a55bb3f63d038f0a648195a94c45151f9f26f81c36472ab99ade

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "236861fe5d5830fe755afeba00901ba6926539f407b4b4080794eedcc1d4bc03",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.FA",
    "submitted_at": "2013-05-27T14:28:56Z",
    "title_canon_sha256": "5609e19783686b21d53ad0cb2396d06f808dce7c45e998a7d39a0df8edf43842"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1305.6235",
    "kind": "arxiv",
    "version": 1
  }
}