Pith Number

pith:JGWT5S6L

pith:2022:JGWT5S6LT6FGC56TUKICIRUXJS

not attested not anchored not stored refs pending

Dark matter scattering in astrophysical media: collective effects

Marios Galanis, Robert Lasenby, William DeRocco

arxiv:2201.05167 v3 · 2022-01-13 · hep-ph · astro-ph.HE · astro-ph.SR

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{JGWT5S6LT6FGC56TUKICIRUXJS}

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	2026-07-05T04:23:49.603077Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

49ad3ecbcb9f8a6177d3a2902446974c8bbb8778a867f3a29437d4ab51f67205

Aliases

arxiv: 2201.05167 · arxiv_version: 2201.05167v3 · doi: 10.48550/arxiv.2201.05167 · pith_short_12: JGWT5S6LT6FG · pith_short_16: JGWT5S6LT6FGC56T · pith_short_8: JGWT5S6L

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/JGWT5S6LT6FGC56TUKICIRUXJS \
  | 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: 49ad3ecbcb9f8a6177d3a2902446974c8bbb8778a867f3a29437d4ab51f67205

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "3bc727b3111e0872e3ebf1b49373dfa9de785162a0507d5210eb1520bdc58652",
    "cross_cats_sorted": [
      "astro-ph.HE",
      "astro-ph.SR"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "hep-ph",
    "submitted_at": "2022-01-13T19:00:02Z",
    "title_canon_sha256": "1c82a13f0264a8843e1d6e5fa5a0be73ba25fa3dc8920ebe803c23b936a2fe68"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2201.05167",
    "kind": "arxiv",
    "version": 3
  }
}