Pith Number

pith:UV7L4AGZ

pith:2014:UV7L4AGZV7D2D4YTVMN5LIY6LU

not attested not anchored not stored refs pending

Explicit induction principle and symplectic-orthogonal theta lifts

Xiang Fan

arxiv:1407.2885 v4 · 2014-07-10 · 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{UV7L4AGZV7D2D4YTVMN5LIY6LU}

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	2026-05-18T00:26:52.294259Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

a57ebe00d9afc7a1f313ab1bd5a31e5d148886a8e1287f682d09e559420787d4

Aliases

arxiv: 1407.2885 · arxiv_version: 1407.2885v4 · doi: 10.48550/arxiv.1407.2885 · pith_short_12: UV7L4AGZV7D2 · pith_short_16: UV7L4AGZV7D2D4YT · pith_short_8: UV7L4AGZ

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/UV7L4AGZV7D2D4YTVMN5LIY6LU \
  | 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: a57ebe00d9afc7a1f313ab1bd5a31e5d148886a8e1287f682d09e559420787d4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "713ac33a2e93019582a92f9cf8dcaada2ee85743afafc12c30625a1827c62819",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2014-07-10T18:08:49Z",
    "title_canon_sha256": "49e6290f8d78caee7e0a21310f22bd6be28f59660fb2f2e764fcc57c35864f70"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1407.2885",
    "kind": "arxiv",
    "version": 4
  }
}