Pith Number

pith:TSHFFIPI

pith:2015:TSHFFIPI6ZAOEUP3VTZW54I6V3

not attested not anchored not stored refs pending

Collective inertia of Nambu-Goldstone mode from linear response theory

Nobuo Hinohara

arxiv:1507.00045 v1 · 2015-06-30 · nucl-th

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{TSHFFIPI6ZAOEUP3VTZW54I6V3}

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	2026-05-18T01:31:10.755372Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

9c8e52a1e8f640e251fbacf36ef11eaef67b2360a763d9b73f7f028f4fd433e5

Aliases

arxiv: 1507.00045 · arxiv_version: 1507.00045v1 · doi: 10.48550/arxiv.1507.00045 · pith_short_12: TSHFFIPI6ZAO · pith_short_16: TSHFFIPI6ZAOEUP3 · pith_short_8: TSHFFIPI

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/TSHFFIPI6ZAOEUP3VTZW54I6V3 \
  | 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: 9c8e52a1e8f640e251fbacf36ef11eaef67b2360a763d9b73f7f028f4fd433e5

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "ac4ea465221ceecd3e2d66de495d1b5b35b8bd787ab64157c2914a3241b7106d",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "nucl-th",
    "submitted_at": "2015-06-30T21:42:40Z",
    "title_canon_sha256": "53fc573473df21e39e2929115d94af9d7e672bece14b374e1698279ce40c2534"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1507.00045",
    "kind": "arxiv",
    "version": 1
  }
}