Pith Number

pith:NGUFADIK

pith:2007:NGUFADIK4DMYUZIRFV6U4YI7UL

not attested not anchored not stored refs pending

Propagating phase boundaries: formulation of the problem and existence via the Glimm scheme

Philippe G. LeFloch

arxiv:math/0701646 v1 · 2007-01-23 · math.AP · cs.NA · math.NA

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

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{NGUFADIK4DMYUZIRFV6U4YI7UL}

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	2026-06-03T22:06:21.896465Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

69a8500d0ae0d98a65112d7d4e611fa2ddbcbdab898f757b60b24d5ef16af90c

Aliases

arxiv: math/0701646 · arxiv_version: math/0701646v1 · doi: 10.48550/arxiv.math/0701646 · pith_short_12: NGUFADIK4DMY · pith_short_16: NGUFADIK4DMYUZIR · pith_short_8: NGUFADIK

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/NGUFADIK4DMYUZIRFV6U4YI7UL \
  | 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: 69a8500d0ae0d98a65112d7d4e611fa2ddbcbdab898f757b60b24d5ef16af90c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7564bb9b6191144a940d1137a766771b13705eeb961c2f706041629dbf8484da",
    "cross_cats_sorted": [
      "cs.NA",
      "math.NA"
    ],
    "license": "",
    "primary_cat": "math.AP",
    "submitted_at": "2007-01-23T14:03:58Z",
    "title_canon_sha256": "f77e5ee49080ae8c2d9bd338dffe36dd7e7a410307dbdc47206352fe8ffe49c9"
  },
  "schema_version": "1.0",
  "source": {
    "id": "math/0701646",
    "kind": "arxiv",
    "version": 1
  }
}