Pith Number

pith:R277UQQT

pith:2015:R277UQQTGLSLBBS6ZCPTSDRXDX

not attested not anchored not stored refs pending

Dense existence of periodic Reeb orbits and ECH spectral invariants

Kei Irie

arxiv:1508.07542 v2 · 2015-08-30 · math.SG · math.DG · math.DS

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{R277UQQTGLSLBBS6ZCPTSDRXDX}

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	2026-05-18T01:29:31.324815Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

8ebffa421332e4b0865ec89f390e371df3ef942f6f9dc95f5d4683fd7205e792

Aliases

arxiv: 1508.07542 · arxiv_version: 1508.07542v2 · doi: 10.48550/arxiv.1508.07542 · pith_short_12: R277UQQTGLSL · pith_short_16: R277UQQTGLSLBBS6 · pith_short_8: R277UQQT

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/R277UQQTGLSLBBS6ZCPTSDRXDX \
  | 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: 8ebffa421332e4b0865ec89f390e371df3ef942f6f9dc95f5d4683fd7205e792

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "c78d7a1650ad668b779c7f3dcbea73bb01bd06a1380d39b993c79b01caa4da56",
    "cross_cats_sorted": [
      "math.DG",
      "math.DS"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.SG",
    "submitted_at": "2015-08-30T08:03:07Z",
    "title_canon_sha256": "89c57a0b77c2cc2b5d4d333795ea768bac8fd3bbe469097abaa15d5b529ee613"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1508.07542",
    "kind": "arxiv",
    "version": 2
  }
}