Pith Number

pith:BYXDTYJE

pith:2014:BYXDTYJEYZ6MMS6QQ4ZZYVZR7W

not attested not anchored not stored refs pending

A class of new bi-invariant metrics on the Hamiltonian diffeomorphism groups

Guangcun Lu, Tie Sun

arxiv:1406.5878 v1 · 2014-06-23 · math.SG

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BYXDTYJEYZ6MMS6QQ4ZZYVZR7W}

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	2026-05-18T02:49:10.561918Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0e2e39e124c67cc64bd087339c5731fd9c95759c1f2378e7e27c3c0c8a380f8f

Aliases

arxiv: 1406.5878 · arxiv_version: 1406.5878v1 · doi: 10.48550/arxiv.1406.5878 · pith_short_12: BYXDTYJEYZ6M · pith_short_16: BYXDTYJEYZ6MMS6Q · pith_short_8: BYXDTYJE

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/BYXDTYJEYZ6MMS6QQ4ZZYVZR7W \
  | 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: 0e2e39e124c67cc64bd087339c5731fd9c95759c1f2378e7e27c3c0c8a380f8f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "71422bc4034832966186ce2b80eedfe44381609b3d9fc85deeadccabd9d645fb",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2014-06-23T11:58:55Z",
    "title_canon_sha256": "fb41f4104fece9d2aa8bdb188437768be9f435ab2b1e5159199d11395597c269"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1406.5878",
    "kind": "arxiv",
    "version": 1
  }
}