Pith Number

pith:G7NMWDUJ

pith:2015:G7NMWDUJAPW2OYL4T7XCTFPZ55

not attested not anchored not stored refs pending

Space-modulated Stability and Averaged Dynamics

L. Miguel Rodrigues

arxiv:1512.06004 v1 · 2015-12-18 · math.AP

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{G7NMWDUJAPW2OYL4T7XCTFPZ55}

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	2026-05-18T01:24:05.651630Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

37dacb0e8903eda7617c9fee2995f9ef51ee704bcc2d7153f2c6290cb5a96510

Aliases

arxiv: 1512.06004 · arxiv_version: 1512.06004v1 · doi: 10.48550/arxiv.1512.06004 · pith_short_12: G7NMWDUJAPW2 · pith_short_16: G7NMWDUJAPW2OYL4 · pith_short_8: G7NMWDUJ

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/G7NMWDUJAPW2OYL4T7XCTFPZ55 \
  | 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: 37dacb0e8903eda7617c9fee2995f9ef51ee704bcc2d7153f2c6290cb5a96510

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "b0224e1191b791dce93edf2820f72c2e40a58710e823ba3597ecd107f22cb6a0",
    "cross_cats_sorted": [],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.AP",
    "submitted_at": "2015-12-18T15:54:51Z",
    "title_canon_sha256": "b211586c3f047e0d8c0e7ad679a228f7fd06548be07e0efc9cee61c852b58068"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1512.06004",
    "kind": "arxiv",
    "version": 1
  }
}