Pith Number

pith:FMHGRQKU

pith:2007:FMHGRQKUMNDNNJ6NZDESA5Q2X4

not attested not anchored not stored refs pending

The spectral data for Hamiltonian stationary Lagrangian tori in R^4

Ian McIntosh, Pascal Romon

arxiv:0707.1767 v3 · 2007-07-12 · math.DG · 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{FMHGRQKUMNDNNJ6NZDESA5Q2X4}

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	2026-05-18T04:26:54.897539Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2b0e68c1546346d6a7cdc8c920761abf2d24deca1b796a65293cc2645e414aa9

Aliases

arxiv: 0707.1767 · arxiv_version: 0707.1767v3 · doi: 10.48550/arxiv.0707.1767 · pith_short_12: FMHGRQKUMNDN · pith_short_16: FMHGRQKUMNDNNJ6N · pith_short_8: FMHGRQKU

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/FMHGRQKUMNDNNJ6NZDESA5Q2X4 \
  | 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: 2b0e68c1546346d6a7cdc8c920761abf2d24deca1b796a65293cc2645e414aa9

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7f1926121d1036d2a2064c7d88e4bb8e8f61f8d02eeb3ee469b27938ab48a1b9",
    "cross_cats_sorted": [
      "math.SG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.DG",
    "submitted_at": "2007-07-12T11:21:36Z",
    "title_canon_sha256": "b6c9c67dd6122011a7f2cccc98c1c626137389beeaa29401bebdd3d358d464c0"
  },
  "schema_version": "1.0",
  "source": {
    "id": "0707.1767",
    "kind": "arxiv",
    "version": 3
  }
}