Pith Number

pith:EJ732VWM

pith:2010:EJ732VWMWIYWUUBCFZ2HAIMF4G

not attested not anchored not stored refs pending

Intertwining the geodesic flow and the Schrodinger group on hyperbolic surfaces

Nalini Anantharaman, Steve Zelditch

arxiv:1010.0867 v1 · 2010-10-05 · math.SP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EJ732VWMWIYWUUBCFZ2HAIMF4G}

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	2026-05-18T03:51:46.007425Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

227fbd56ccb2316a50222e74702185e1bca79581e66c01e95ad54a2a10ec09bc

Aliases

arxiv: 1010.0867 · arxiv_version: 1010.0867v1 · doi: 10.48550/arxiv.1010.0867 · pith_short_12: EJ732VWMWIYW · pith_short_16: EJ732VWMWIYWUUBC · pith_short_8: EJ732VWM

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/EJ732VWMWIYWUUBCFZ2HAIMF4G \
  | 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: 227fbd56ccb2316a50222e74702185e1bca79581e66c01e95ad54a2a10ec09bc

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "98a76a5b4bcc1d77a9e06c5f9e8857d8a49f4ddfb16f35a9f3bcc6367e3cef3d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SP",
    "submitted_at": "2010-10-05T12:42:28Z",
    "title_canon_sha256": "a13df34983ad629053a0d7cfc988f45909aed4e788250160902d6b1713dac277"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1010.0867",
    "kind": "arxiv",
    "version": 1
  }
}