Pith Number

pith:5PDEK3Y6

pith:2015:5PDEK3Y6R7ITCYMR2JR5AOJGRA

not attested not anchored not stored refs pending

Geometric characterizations of embedding theorems

Ji Li, Yanchang Han, Yongsheng Han

arxiv:1601.06125 v1 · 2015-12-15 · math.CA · 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{5PDEK3Y6R7ITCYMR2JR5AOJGRA}

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	2026-05-18T01:22:09.209762Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

ebc6456f1e8fd1316191d263d03926880779233ad6fdedae1f2bd114cfdf102c

Aliases

arxiv: 1601.06125 · arxiv_version: 1601.06125v1 · doi: 10.48550/arxiv.1601.06125 · pith_short_12: 5PDEK3Y6R7IT · pith_short_16: 5PDEK3Y6R7ITCYMR · pith_short_8: 5PDEK3Y6

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/5PDEK3Y6R7ITCYMR2JR5AOJGRA \
  | 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: ebc6456f1e8fd1316191d263d03926880779233ad6fdedae1f2bd114cfdf102c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "5296055ee43dd0b8d646955176281b4dec38d1c1d6265cbcc430a1edac38fbd3",
    "cross_cats_sorted": [
      "math.FA"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.CA",
    "submitted_at": "2015-12-15T16:16:50Z",
    "title_canon_sha256": "b8ea745f7165446104a9257f78e6784b6f52abeec26cc36619511dee68696686"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1601.06125",
    "kind": "arxiv",
    "version": 1
  }
}