Pith Number

pith:CHPGK3M5

pith:2021:CHPGK3M5CWFQLXLKOA2HZD7VRI

not attested not anchored not stored refs pending

Perturbative expansion of the fundamental equation of online user dynamics for describing changes in eigenfrequencies

Masaki Aida, Naoki Hirakura

arxiv:2105.03883 v1 · 2021-05-09 · cs.SI · physics.soc-ph

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{CHPGK3M5CWFQLXLKOA2HZD7VRI}

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	2026-07-05T02:38:39.867204Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

11de656d9d158b05dd6a70347c8ff58a29f9b017023e4d0d65b46a791dbe007e

Aliases

arxiv: 2105.03883 · arxiv_version: 2105.03883v1 · doi: 10.48550/arxiv.2105.03883 · pith_short_12: CHPGK3M5CWFQ · pith_short_16: CHPGK3M5CWFQLXLK · pith_short_8: CHPGK3M5

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/CHPGK3M5CWFQLXLKOA2HZD7VRI \
  | 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: 11de656d9d158b05dd6a70347c8ff58a29f9b017023e4d0d65b46a791dbe007e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "986dfcbe9588e5bac8f2803e96fc297d46b3e9dfbce21488a9d090525fe78e08",
    "cross_cats_sorted": [
      "physics.soc-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cs.SI",
    "submitted_at": "2021-05-09T09:14:04Z",
    "title_canon_sha256": "c7cc3332c9289e6b1a121ccc2a75b20918fe4bb61e02e58a2e2a4173bba217b9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2105.03883",
    "kind": "arxiv",
    "version": 1
  }
}