Pith Number

pith:YBITXNUM

pith:2015:YBITXNUMIAIBPJPBW2BNDCRDMJ

not attested not anchored not stored refs pending

Scaling theory for the jamming transition

Andrea J. Liu, Carl P. Goodrich, James P. Sethna

arxiv:1510.03469 v1 · 2015-10-12 · cond-mat.soft

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{YBITXNUMIAIBPJPBW2BNDCRDMJ}

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	2026-05-18T01:30:17.109759Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

c0513bb68c401017a5e1b682d18a23626f35c5bb75a1c41c5dc1ae6c5833342f

Aliases

arxiv: 1510.03469 · arxiv_version: 1510.03469v1 · doi: 10.48550/arxiv.1510.03469 · pith_short_12: YBITXNUMIAIB · pith_short_16: YBITXNUMIAIBPJPB · pith_short_8: YBITXNUM

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/YBITXNUMIAIBPJPBW2BNDCRDMJ \
  | 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: c0513bb68c401017a5e1b682d18a23626f35c5bb75a1c41c5dc1ae6c5833342f

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "87ffb1d229df96054c2d7ce845590660c431615a9436b4306d358e81001e64ae",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "cond-mat.soft",
    "submitted_at": "2015-10-12T21:23:14Z",
    "title_canon_sha256": "3d0f8aebafb0b8a16fd739e606d69f6b19de8cb73b2e48c15404764f4c8a00f2"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1510.03469",
    "kind": "arxiv",
    "version": 1
  }
}